Least Common Multiple of 307454 and 307458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307454 and 307458 the smallest integer that is 47264595966 that is divisible by both numbers.

Least Common Multiple (LCM) of 307454 and 307458 is 47264595966.

LCM(307454,307458) = 47264595966

LCM of 307454 and 307458

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

LCM of:
and

Least Common Multiple of 307454 and 307458

LCM of 307454 and 307458 is 47264595966

Least common multiple can be found by multiplying the highest exponent prime factors of 307454 and 307458. First we will calculate the prime factors of 307454 and 307458.

Prime Factorization of 307454


2 307454
7 153727
21961 21961
1

Prime factors of 307454 are 2, 7,21961. Prime factorization of 307454 in exponential form is:

307454 = 21×71×219611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307454 and 307458.

LCM(307454,307458) = 21×32×71×191×291×311×219611
LCM(307454,307458) = 47264595966

Factors of 307454

List of positive integer factors of 307454 that divides 307454 without a remainder.

1, 2, 7, 14, 21961, 43922, 153727, 307454

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

Least Common Multiple of 307454 and 307458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307454 and 307458, than apply into the LCM equation.

GCF(307454,307458) = 2
LCM(307454,307458) = ( 307454 × 307458) / 2
LCM(307454,307458) = 94529191932 / 2
LCM(307454,307458) = 47264595966

Properties of LCM 307454 and 307458

(i) The LCM of 307458 and 307454 is associative

LCM of 307454 and 307458 = LCM of 307458 and 307454

Related Least Common Multiples of 307454

Related Least Common Multiples of 307458

Frequently Asked Questions on LCM of 307454 and 307458

1. What is the LCM of 307454 and 307458?

Answer: LCM of 307454 and 307458 is 47264595966.

2. What are the Factors of 307454?

Answer: Factors of 307454 are 1, 2, 7, 14, 21961, 43922, 153727, 307454. There are 8 integers that are factors of 307454. The greatest factor of 307454 is 307454.

3. 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.

4. How to Find the LCM of 307454 and 307458?

Answer:

Least Common Multiple of 307454 and 307458 = 47264595966

Step 1: Find the prime factorization of 307454

307454 = 2 x 7 x 21961

Step 2: Find the prime factorization of 307458

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

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

LCM = 47264595966 = 2 x 3 x 3 x 7 x 19 x 29 x 31 x 21961

Step 4: Therefore, the least common multiple of 307454 and 307458 is 47264595966.