What is the Least Common Multiple of 54576 and 54582?

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 54576 and 54582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54576 and 54582, than apply into the LCM equation.

GCF(54576,54582) = 6
LCM(54576,54582) = ( 54576 × 54582) / 6
LCM(54576,54582) = 2978867232 / 6
LCM(54576,54582) = 496477872

Least Common Multiple (LCM) of 54576 and 54582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54576 and 54582. First we will calculate the prime factors of 54576 and 54582.

Prime Factorization of 54576

Prime Factorization of 54582

Now multiplying the highest exponent prime factors to calculate the LCM of 54576 and 54582.

LCM(54576,54582) = 2⁴ × 3² × 379¹ × 11¹ × 827¹
LCM(54576,54582) = 496477872