What is the Least Common Multiple of 64725 and 64740?

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 64725 and 64740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64725 and 64740, than apply into the LCM equation.

GCF(64725,64740) = 15
LCM(64725,64740) = ( 64725 × 64740) / 15
LCM(64725,64740) = 4190296500 / 15
LCM(64725,64740) = 279353100

Least Common Multiple (LCM) of 64725 and 64740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64725 and 64740. First we will calculate the prime factors of 64725 and 64740.

Prime Factorization of 64725

Prime Factorization of 64740

Now multiplying the highest exponent prime factors to calculate the LCM of 64725 and 64740.

LCM(64725,64740) = 3¹ × 5² × 863¹ × 2² × 13¹ × 83¹
LCM(64725,64740) = 279353100