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What is the Least Common Multiple of 7612 and 7620?

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 7612 and 7620 is 14500860.

LCM(7612,7620) = 14500860

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Least Common Multiple of 7612 and 7620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7612 and 7620, than apply into the LCM equation.

GCF(7612,7620) = 4
LCM(7612,7620) = ( 7612 × 7620) / 4
LCM(7612,7620) = 58003440 / 4
LCM(7612,7620) = 14500860

Least Common Multiple (LCM) of 7612 and 7620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7612 and 7620. First we will calculate the prime factors of 7612 and 7620.

Prime Factorization of 7612

Prime factors of 7612 are 2, 11, 173. Prime factorization of 7612 in exponential form is:

7612 = 22 × 111 × 1731

Prime Factorization of 7620

Prime factors of 7620 are 2, 3, 5, 127. Prime factorization of 7620 in exponential form is:

7620 = 22 × 31 × 51 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7612 and 7620.

LCM(7612,7620) = 22 × 111 × 1731 × 31 × 51 × 1271
LCM(7612,7620) = 14500860