What is the Least Common Multiple of 64464 and 64475?

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 64464 and 64475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64464 and 64475, than apply into the LCM equation.

GCF(64464,64475) = 1
LCM(64464,64475) = ( 64464 × 64475) / 1
LCM(64464,64475) = 4156316400 / 1
LCM(64464,64475) = 4156316400

Least Common Multiple (LCM) of 64464 and 64475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64464 and 64475. First we will calculate the prime factors of 64464 and 64475.

Prime Factorization of 64464

Prime Factorization of 64475

Now multiplying the highest exponent prime factors to calculate the LCM of 64464 and 64475.

LCM(64464,64475) = 2⁴ × 3¹ × 17¹ × 79¹ × 5² × 2579¹
LCM(64464,64475) = 4156316400