What is the Least Common Multiple of 64609 and 64625?

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 64609 and 64625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64609 and 64625, than apply into the LCM equation.

GCF(64609,64625) = 1
LCM(64609,64625) = ( 64609 × 64625) / 1
LCM(64609,64625) = 4175356625 / 1
LCM(64609,64625) = 4175356625

Least Common Multiple (LCM) of 64609 and 64625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64609 and 64625. First we will calculate the prime factors of 64609 and 64625.

Prime Factorization of 64609

Prime Factorization of 64625

Now multiplying the highest exponent prime factors to calculate the LCM of 64609 and 64625.

LCM(64609,64625) = 64609¹ × 5³ × 11¹ × 47¹
LCM(64609,64625) = 4175356625