What is the Least Common Multiple of 56946 and 56961?

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 56946 and 56961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56946 and 56961, than apply into the LCM equation.

GCF(56946,56961) = 3
LCM(56946,56961) = ( 56946 × 56961) / 3
LCM(56946,56961) = 3243701106 / 3
LCM(56946,56961) = 1081233702

Least Common Multiple (LCM) of 56946 and 56961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56946 and 56961. First we will calculate the prime factors of 56946 and 56961.

Prime Factorization of 56946

Prime Factorization of 56961

Now multiplying the highest exponent prime factors to calculate the LCM of 56946 and 56961.

LCM(56946,56961) = 2¹ × 3² × 9491¹ × 6329¹
LCM(56946,56961) = 1081233702