What is the Least Common Multiple of 64320 and 64325?

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 64320 and 64325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64320 and 64325, than apply into the LCM equation.

GCF(64320,64325) = 5
LCM(64320,64325) = ( 64320 × 64325) / 5
LCM(64320,64325) = 4137384000 / 5
LCM(64320,64325) = 827476800

Least Common Multiple (LCM) of 64320 and 64325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64320 and 64325. First we will calculate the prime factors of 64320 and 64325.

Prime Factorization of 64320

Prime Factorization of 64325

Now multiplying the highest exponent prime factors to calculate the LCM of 64320 and 64325.

LCM(64320,64325) = 2⁶ × 3¹ × 5² × 67¹ × 31¹ × 83¹
LCM(64320,64325) = 827476800