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What is the Least Common Multiple of 7629 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 7629 and 7644 is 19438692.

LCM(7629,7644) = 19438692

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Least Common Multiple of 7629 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 7629 and 7644, than apply into the LCM equation.

GCF(7629,7644) = 3
LCM(7629,7644) = ( 7629 × 7644) / 3
LCM(7629,7644) = 58316076 / 3
LCM(7629,7644) = 19438692

Least Common Multiple (LCM) of 7629 and 7644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7629 and 7644. First we will calculate the prime factors of 7629 and 7644.

Prime Factorization of 7629

Prime factors of 7629 are 3, 2543. Prime factorization of 7629 in exponential form is:

7629 = 31 × 25431

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 7629 and 7644.

LCM(7629,7644) = 31 × 25431 × 22 × 72 × 131
LCM(7629,7644) = 19438692