What is the Least Common Multiple of 64140 and 64146?

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 64140 and 64146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64140 and 64146, than apply into the LCM equation.

GCF(64140,64146) = 6
LCM(64140,64146) = ( 64140 × 64146) / 6
LCM(64140,64146) = 4114324440 / 6
LCM(64140,64146) = 685720740

Least Common Multiple (LCM) of 64140 and 64146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64140 and 64146. First we will calculate the prime factors of 64140 and 64146.

Prime Factorization of 64140

Prime Factorization of 64146

Now multiplying the highest exponent prime factors to calculate the LCM of 64140 and 64146.

LCM(64140,64146) = 2² × 3¹ × 5¹ × 1069¹ × 10691¹
LCM(64140,64146) = 685720740