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What is the Least Common Multiple of 15636 and 15651?

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 15636 and 15651 is 81573012.

LCM(15636,15651) = 81573012

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Least Common Multiple of 15636 and 15651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15636 and 15651, than apply into the LCM equation.

GCF(15636,15651) = 3
LCM(15636,15651) = ( 15636 × 15651) / 3
LCM(15636,15651) = 244719036 / 3
LCM(15636,15651) = 81573012

Least Common Multiple (LCM) of 15636 and 15651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15636 and 15651. First we will calculate the prime factors of 15636 and 15651.

Prime Factorization of 15636

Prime factors of 15636 are 2, 3, 1303. Prime factorization of 15636 in exponential form is:

15636 = 22 × 31 × 13031

Prime Factorization of 15651

Prime factors of 15651 are 3, 37, 47. Prime factorization of 15651 in exponential form is:

15651 = 32 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 15636 and 15651.

LCM(15636,15651) = 22 × 32 × 13031 × 371 × 471
LCM(15636,15651) = 81573012