What is the Least Common Multiple of 76560 and 76572?

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 76560 and 76572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76560 and 76572, than apply into the LCM equation.

GCF(76560,76572) = 12
LCM(76560,76572) = ( 76560 × 76572) / 12
LCM(76560,76572) = 5862352320 / 12
LCM(76560,76572) = 488529360

Least Common Multiple (LCM) of 76560 and 76572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76560 and 76572. First we will calculate the prime factors of 76560 and 76572.

Prime Factorization of 76560

Prime Factorization of 76572

Now multiplying the highest exponent prime factors to calculate the LCM of 76560 and 76572.

LCM(76560,76572) = 2⁴ × 3³ × 5¹ × 11¹ × 29¹ × 709¹
LCM(76560,76572) = 488529360