What is the Least Common Multiple of 32152 and 32156?

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 32152 and 32156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32152 and 32156, than apply into the LCM equation.

GCF(32152,32156) = 4
LCM(32152,32156) = ( 32152 × 32156) / 4
LCM(32152,32156) = 1033879712 / 4
LCM(32152,32156) = 258469928

Least Common Multiple (LCM) of 32152 and 32156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32152 and 32156. First we will calculate the prime factors of 32152 and 32156.

Prime Factorization of 32152

Prime Factorization of 32156

Now multiplying the highest exponent prime factors to calculate the LCM of 32152 and 32156.

LCM(32152,32156) = 2³ × 4019¹ × 8039¹
LCM(32152,32156) = 258469928