What is the Least Common Multiple of 39180 and 39198?

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 39180 and 39198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39180 and 39198, than apply into the LCM equation.

GCF(39180,39198) = 6
LCM(39180,39198) = ( 39180 × 39198) / 6
LCM(39180,39198) = 1535777640 / 6
LCM(39180,39198) = 255962940

Least Common Multiple (LCM) of 39180 and 39198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39180 and 39198. First we will calculate the prime factors of 39180 and 39198.

Prime Factorization of 39180

Prime Factorization of 39198

Now multiplying the highest exponent prime factors to calculate the LCM of 39180 and 39198.

LCM(39180,39198) = 2² × 3¹ × 5¹ × 653¹ × 47¹ × 139¹
LCM(39180,39198) = 255962940