What is the Least Common Multiple of 64475 and 64488?

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 64475 and 64488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64475 and 64488, than apply into the LCM equation.

GCF(64475,64488) = 1
LCM(64475,64488) = ( 64475 × 64488) / 1
LCM(64475,64488) = 4157863800 / 1
LCM(64475,64488) = 4157863800

Least Common Multiple (LCM) of 64475 and 64488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64475 and 64488. First we will calculate the prime factors of 64475 and 64488.

Prime Factorization of 64475

Prime Factorization of 64488

Now multiplying the highest exponent prime factors to calculate the LCM of 64475 and 64488.

LCM(64475,64488) = 5² × 2579¹ × 2³ × 3¹ × 2687¹
LCM(64475,64488) = 4157863800