What is the Least Common Multiple of 64505 and 64524?

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 64505 and 64524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64505 and 64524, than apply into the LCM equation.

GCF(64505,64524) = 19
LCM(64505,64524) = ( 64505 × 64524) / 19
LCM(64505,64524) = 4162120620 / 19
LCM(64505,64524) = 219058980

Least Common Multiple (LCM) of 64505 and 64524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64505 and 64524. First we will calculate the prime factors of 64505 and 64524.

Prime Factorization of 64505

Prime Factorization of 64524

Now multiplying the highest exponent prime factors to calculate the LCM of 64505 and 64524.

LCM(64505,64524) = 5¹ × 7¹ × 19¹ × 97¹ × 2² × 3¹ × 283¹
LCM(64505,64524) = 219058980