GCF and LCM Calculator Logo

What is the Least Common Multiple of 56960 and 56979?

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 (LCM) of 56960 and 56979 is 3245523840.

LCM(56960,56979) = 3245523840

LCM Calculator and
and

Least Common Multiple of 56960 and 56979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56960 and 56979, than apply into the LCM equation.

GCF(56960,56979) = 1
LCM(56960,56979) = ( 56960 × 56979) / 1
LCM(56960,56979) = 3245523840 / 1
LCM(56960,56979) = 3245523840

Least Common Multiple (LCM) of 56960 and 56979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56960 and 56979. First we will calculate the prime factors of 56960 and 56979.

Prime Factorization of 56960

Prime factors of 56960 are 2, 5, 89. Prime factorization of 56960 in exponential form is:

56960 = 27 × 51 × 891

Prime Factorization of 56979

Prime factors of 56979 are 3, 13, 487. Prime factorization of 56979 in exponential form is:

56979 = 32 × 131 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 56960 and 56979.

LCM(56960,56979) = 27 × 51 × 891 × 32 × 131 × 4871
LCM(56960,56979) = 3245523840