What is the Least Common Multiple of 60672 and 60680?

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 60672 and 60680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60672 and 60680, than apply into the LCM equation.

GCF(60672,60680) = 8
LCM(60672,60680) = ( 60672 × 60680) / 8
LCM(60672,60680) = 3681576960 / 8
LCM(60672,60680) = 460197120

Least Common Multiple (LCM) of 60672 and 60680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60672 and 60680. First we will calculate the prime factors of 60672 and 60680.

Prime Factorization of 60672

Prime Factorization of 60680

Now multiplying the highest exponent prime factors to calculate the LCM of 60672 and 60680.

LCM(60672,60680) = 2⁸ × 3¹ × 79¹ × 5¹ × 37¹ × 41¹
LCM(60672,60680) = 460197120