What is the Least Common Multiple of 60504 and 60512?

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 60504 and 60512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60504 and 60512, than apply into the LCM equation.

GCF(60504,60512) = 8
LCM(60504,60512) = ( 60504 × 60512) / 8
LCM(60504,60512) = 3661218048 / 8
LCM(60504,60512) = 457652256

Least Common Multiple (LCM) of 60504 and 60512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60504 and 60512. First we will calculate the prime factors of 60504 and 60512.

Prime Factorization of 60504

Prime Factorization of 60512

Now multiplying the highest exponent prime factors to calculate the LCM of 60504 and 60512.

LCM(60504,60512) = 2⁵ × 3¹ × 2521¹ × 31¹ × 61¹
LCM(60504,60512) = 457652256