What is the Least Common Multiple of 60512 and 60524?

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 60512 and 60524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60512 and 60524, than apply into the LCM equation.

GCF(60512,60524) = 4
LCM(60512,60524) = ( 60512 × 60524) / 4
LCM(60512,60524) = 3662428288 / 4
LCM(60512,60524) = 915607072

Least Common Multiple (LCM) of 60512 and 60524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60512 and 60524. First we will calculate the prime factors of 60512 and 60524.

Prime Factorization of 60512

Prime Factorization of 60524

Now multiplying the highest exponent prime factors to calculate the LCM of 60512 and 60524.

LCM(60512,60524) = 2⁵ × 31¹ × 61¹ × 15131¹
LCM(60512,60524) = 915607072