What is the Least Common Multiple of 39642 and 39651?

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 of 39642 and 39651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39642 and 39651, than apply into the LCM equation.

GCF(39642,39651) = 3
LCM(39642,39651) = ( 39642 × 39651) / 3
LCM(39642,39651) = 1571844942 / 3
LCM(39642,39651) = 523948314

Least Common Multiple (LCM) of 39642 and 39651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39642 and 39651. First we will calculate the prime factors of 39642 and 39651.

Prime Factorization of 39642

Prime Factorization of 39651

Now multiplying the highest exponent prime factors to calculate the LCM of 39642 and 39651.

LCM(39642,39651) = 2¹ × 3¹ × 6607¹ × 13217¹
LCM(39642,39651) = 523948314