Least Common Multiple of 307456 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 307456 and 307464 the smallest integer that is 11816456448 that is divisible by both numbers.

Least Common Multiple (LCM) of 307456 and 307464 is 11816456448.

LCM(307456,307464) = 11816456448

LCM of 307456 and 307464

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

LCM of:
and

Least Common Multiple of 307456 and 307464

LCM of 307456 and 307464 is 11816456448

Least common multiple can be found by multiplying the highest exponent prime factors of 307456 and 307464. First we will calculate the prime factors of 307456 and 307464.

Prime Factorization of 307456


2 307456
2 153728
2 76864
2 38432
2 19216
2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 307456 are 2,1201. Prime factorization of 307456 in exponential form is:

307456 = 28×12011

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 307456 and 307464.

LCM(307456,307464) = 28×31×231×5571×12011
LCM(307456,307464) = 11816456448

Factors of 307456

List of positive integer factors of 307456 that divides 307456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 1201, 2402, 4804, 9608, 19216, 38432, 76864, 153728, 307456

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 307456 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 307456 and 307464, than apply into the LCM equation.

GCF(307456,307464) = 8
LCM(307456,307464) = ( 307456 × 307464) / 8
LCM(307456,307464) = 94531651584 / 8
LCM(307456,307464) = 11816456448

Properties of LCM 307456 and 307464

(i) The LCM of 307464 and 307456 is associative

LCM of 307456 and 307464 = LCM of 307464 and 307456

Related Least Common Multiples of 307456

Related Least Common Multiples of 307464

Frequently Asked Questions on LCM of 307456 and 307464

1. What is the LCM of 307456 and 307464?

Answer: LCM of 307456 and 307464 is 11816456448.

2. What are the Factors of 307456?

Answer: Factors of 307456 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 1201, 2402, 4804, 9608, 19216, 38432, 76864, 153728, 307456. There are 18 integers that are factors of 307456. The greatest factor of 307456 is 307456.

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 307456 and 307464?

Answer:

Least Common Multiple of 307456 and 307464 = 11816456448

Step 1: Find the prime factorization of 307456

307456 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1201

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 = 11816456448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 557 x 1201

Step 4: Therefore, the least common multiple of 307456 and 307464 is 11816456448.