Least Common Multiple of 307458 and 307464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307458 and 307464 the smallest integer that is 15755377752 that is divisible by both numbers.

Least Common Multiple (LCM) of 307458 and 307464 is 15755377752.

LCM(307458,307464) = 15755377752

LCM of 307458 and 307464

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 307458 and 307464

LCM of 307458 and 307464 is 15755377752

Least common multiple can be found by multiplying the highest exponent prime factors of 307458 and 307464. First we will calculate the prime factors of 307458 and 307464.

Prime Factorization of 307458


2 307458
3 153729
3 51243
19 17081
29 899
31 31
1

Prime factors of 307458 are 2, 3, 19, 29,31. Prime factorization of 307458 in exponential form is:

307458 = 21×32×191×291×311

Prime Factorization of 307464


2 307464
2 153732
2 76866
3 38433
23 12811
557 557
1

Prime factors of 307464 are 2, 3, 23,557. Prime factorization of 307464 in exponential form is:

307464 = 23×31×231×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 307458 and 307464.

LCM(307458,307464) = 23×32×191×231×291×311×5571
LCM(307458,307464) = 15755377752

Factors of 307458

List of positive integer factors of 307458 that divides 307458 without a remainder.

1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458

Factors of 307464

List of positive integer factors of 307464 that divides 307464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552, 557, 1114, 1671, 2228, 3342, 4456, 6684, 12811, 13368, 25622, 38433, 51244, 76866, 102488, 153732, 307464

Least Common Multiple of 307458 and 307464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307458 and 307464, than apply into the LCM equation.

GCF(307458,307464) = 6
LCM(307458,307464) = ( 307458 × 307464) / 6
LCM(307458,307464) = 94532266512 / 6
LCM(307458,307464) = 15755377752

Properties of LCM 307458 and 307464

(i) The LCM of 307464 and 307458 is associative

LCM of 307458 and 307464 = LCM of 307464 and 307458

Related Least Common Multiples of 307458

Related Least Common Multiples of 307464

Frequently Asked Questions on LCM of 307458 and 307464

1. What is the LCM of 307458 and 307464?

Answer: LCM of 307458 and 307464 is 15755377752.

2. What are the Factors of 307458?

Answer: Factors of 307458 are 1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458. There are 48 integers that are factors of 307458. The greatest factor of 307458 is 307458.

3. What are the Factors of 307464?

Answer: Factors of 307464 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552, 557, 1114, 1671, 2228, 3342, 4456, 6684, 12811, 13368, 25622, 38433, 51244, 76866, 102488, 153732, 307464. There are 32 integers that are factors of 307464. The greatest factor of 307464 is 307464.

4. How to Find the LCM of 307458 and 307464?

Answer:

Least Common Multiple of 307458 and 307464 = 15755377752

Step 1: Find the prime factorization of 307458

307458 = 2 x 3 x 3 x 19 x 29 x 31

Step 2: Find the prime factorization of 307464

307464 = 2 x 2 x 2 x 3 x 23 x 557

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15755377752 = 2 x 2 x 2 x 3 x 3 x 19 x 23 x 29 x 31 x 557

Step 4: Therefore, the least common multiple of 307458 and 307464 is 15755377752.