What is the Least Common Multiple of 60976 and 60980?

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 60976 and 60980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60976 and 60980, than apply into the LCM equation.

GCF(60976,60980) = 4
LCM(60976,60980) = ( 60976 × 60980) / 4
LCM(60976,60980) = 3718316480 / 4
LCM(60976,60980) = 929579120

Least Common Multiple (LCM) of 60976 and 60980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60976 and 60980. First we will calculate the prime factors of 60976 and 60980.

Prime Factorization of 60976

Prime Factorization of 60980

Now multiplying the highest exponent prime factors to calculate the LCM of 60976 and 60980.

LCM(60976,60980) = 2⁴ × 37¹ × 103¹ × 5¹ × 3049¹
LCM(60976,60980) = 929579120