What is the Least Common Multiple of 64125 and 64140?

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 64125 and 64140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64125 and 64140, than apply into the LCM equation.

GCF(64125,64140) = 15
LCM(64125,64140) = ( 64125 × 64140) / 15
LCM(64125,64140) = 4112977500 / 15
LCM(64125,64140) = 274198500

Least Common Multiple (LCM) of 64125 and 64140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64125 and 64140. First we will calculate the prime factors of 64125 and 64140.

Prime Factorization of 64125

Prime Factorization of 64140

Now multiplying the highest exponent prime factors to calculate the LCM of 64125 and 64140.

LCM(64125,64140) = 3³ × 5³ × 19¹ × 2² × 1069¹
LCM(64125,64140) = 274198500