What is the Least Common Multiple of 32124 and 32136?

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 32124 and 32136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32124 and 32136, than apply into the LCM equation.

GCF(32124,32136) = 12
LCM(32124,32136) = ( 32124 × 32136) / 12
LCM(32124,32136) = 1032336864 / 12
LCM(32124,32136) = 86028072

Least Common Multiple (LCM) of 32124 and 32136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32124 and 32136. First we will calculate the prime factors of 32124 and 32136.

Prime Factorization of 32124

Prime Factorization of 32136

Now multiplying the highest exponent prime factors to calculate the LCM of 32124 and 32136.

LCM(32124,32136) = 2³ × 3¹ × 2677¹ × 13¹ × 103¹
LCM(32124,32136) = 86028072