What is the Least Common Multiple of 39174 and 39180?

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 39174 and 39180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39174 and 39180, than apply into the LCM equation.

GCF(39174,39180) = 6
LCM(39174,39180) = ( 39174 × 39180) / 6
LCM(39174,39180) = 1534837320 / 6
LCM(39174,39180) = 255806220

Least Common Multiple (LCM) of 39174 and 39180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39174 and 39180. First we will calculate the prime factors of 39174 and 39180.

Prime Factorization of 39174

Prime Factorization of 39180

Now multiplying the highest exponent prime factors to calculate the LCM of 39174 and 39180.

LCM(39174,39180) = 2² × 3¹ × 6529¹ × 5¹ × 653¹
LCM(39174,39180) = 255806220