What is the Least Common Multiple of 64625 and 64636?

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 64625 and 64636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64625 and 64636, than apply into the LCM equation.

GCF(64625,64636) = 11
LCM(64625,64636) = ( 64625 × 64636) / 11
LCM(64625,64636) = 4177101500 / 11
LCM(64625,64636) = 379736500

Least Common Multiple (LCM) of 64625 and 64636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64625 and 64636. First we will calculate the prime factors of 64625 and 64636.

Prime Factorization of 64625

Prime Factorization of 64636

Now multiplying the highest exponent prime factors to calculate the LCM of 64625 and 64636.

LCM(64625,64636) = 5³ × 11¹ × 47¹ × 2² × 13¹ × 113¹
LCM(64625,64636) = 379736500