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What is the Least Common Multiple of 7624 and 7644?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7624 and 7644 is 14569464.

LCM(7624,7644) = 14569464

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Least Common Multiple of 7624 and 7644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7624 and 7644, than apply into the LCM equation.

GCF(7624,7644) = 4
LCM(7624,7644) = ( 7624 × 7644) / 4
LCM(7624,7644) = 58277856 / 4
LCM(7624,7644) = 14569464

Least Common Multiple (LCM) of 7624 and 7644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7624 and 7644. First we will calculate the prime factors of 7624 and 7644.

Prime Factorization of 7624

Prime factors of 7624 are 2, 953. Prime factorization of 7624 in exponential form is:

7624 = 23 × 9531

Prime Factorization of 7644

Prime factors of 7644 are 2, 3, 7, 13. Prime factorization of 7644 in exponential form is:

7644 = 22 × 31 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 7624 and 7644.

LCM(7624,7644) = 23 × 9531 × 31 × 72 × 131
LCM(7624,7644) = 14569464