What is the Least Common Multiple of 64700 and 64720?

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 64700 and 64720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64700 and 64720, than apply into the LCM equation.

GCF(64700,64720) = 20
LCM(64700,64720) = ( 64700 × 64720) / 20
LCM(64700,64720) = 4187384000 / 20
LCM(64700,64720) = 209369200

Least Common Multiple (LCM) of 64700 and 64720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64700 and 64720. First we will calculate the prime factors of 64700 and 64720.

Prime Factorization of 64700

Prime Factorization of 64720

Now multiplying the highest exponent prime factors to calculate the LCM of 64700 and 64720.

LCM(64700,64720) = 2⁴ × 5² × 647¹ × 809¹
LCM(64700,64720) = 209369200