What is the Least Common Multiple of 39156 and 39174?

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 39156 and 39174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39156 and 39174, than apply into the LCM equation.

GCF(39156,39174) = 6
LCM(39156,39174) = ( 39156 × 39174) / 6
LCM(39156,39174) = 1533897144 / 6
LCM(39156,39174) = 255649524

Least Common Multiple (LCM) of 39156 and 39174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39156 and 39174. First we will calculate the prime factors of 39156 and 39174.

Prime Factorization of 39156

Prime Factorization of 39174

Now multiplying the highest exponent prime factors to calculate the LCM of 39156 and 39174.

LCM(39156,39174) = 2² × 3¹ × 13¹ × 251¹ × 6529¹
LCM(39156,39174) = 255649524