What is the Least Common Multiple of 60576 and 60582?

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 60576 and 60582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60576 and 60582, than apply into the LCM equation.

GCF(60576,60582) = 6
LCM(60576,60582) = ( 60576 × 60582) / 6
LCM(60576,60582) = 3669815232 / 6
LCM(60576,60582) = 611635872

Least Common Multiple (LCM) of 60576 and 60582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60576 and 60582. First we will calculate the prime factors of 60576 and 60582.

Prime Factorization of 60576

Prime Factorization of 60582

Now multiplying the highest exponent prime factors to calculate the LCM of 60576 and 60582.

LCM(60576,60582) = 2⁵ × 3¹ × 631¹ × 23¹ × 439¹
LCM(60576,60582) = 611635872