What is the Least Common Multiple of 6150 and 6164?

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 6150 and 6164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6150 and 6164, than apply into the LCM equation.

GCF(6150,6164) = 2
LCM(6150,6164) = ( 6150 × 6164) / 2
LCM(6150,6164) = 37908600 / 2
LCM(6150,6164) = 18954300

Least Common Multiple (LCM) of 6150 and 6164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6150 and 6164. First we will calculate the prime factors of 6150 and 6164.

Prime Factorization of 6150

Prime Factorization of 6164

Now multiplying the highest exponent prime factors to calculate the LCM of 6150 and 6164.

LCM(6150,6164) = 2² × 3¹ × 5² × 41¹ × 23¹ × 67¹
LCM(6150,6164) = 18954300