What is the Least Common Multiple of 54646 and 54657?

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 54646 and 54657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54646 and 54657, than apply into the LCM equation.

GCF(54646,54657) = 1
LCM(54646,54657) = ( 54646 × 54657) / 1
LCM(54646,54657) = 2986786422 / 1
LCM(54646,54657) = 2986786422

Least Common Multiple (LCM) of 54646 and 54657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54646 and 54657. First we will calculate the prime factors of 54646 and 54657.

Prime Factorization of 54646

Prime Factorization of 54657

Now multiplying the highest exponent prime factors to calculate the LCM of 54646 and 54657.

LCM(54646,54657) = 2¹ × 89¹ × 307¹ × 3² × 6073¹
LCM(54646,54657) = 2986786422