What is the Least Common Multiple of 54567 and 54576?

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 54567 and 54576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54567 and 54576, than apply into the LCM equation.

GCF(54567,54576) = 9
LCM(54567,54576) = ( 54567 × 54576) / 9
LCM(54567,54576) = 2978048592 / 9
LCM(54567,54576) = 330894288

Least Common Multiple (LCM) of 54567 and 54576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54567 and 54576. First we will calculate the prime factors of 54567 and 54576.

Prime Factorization of 54567

Prime Factorization of 54576

Now multiplying the highest exponent prime factors to calculate the LCM of 54567 and 54576.

LCM(54567,54576) = 3³ × 43¹ × 47¹ × 2⁴ × 379¹
LCM(54567,54576) = 330894288