GCF and LCM Calculator Logo

What is the Least Common Multiple of 56979 and 56991?

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 56979 and 56991 is 1082430063.

LCM(56979,56991) = 1082430063

LCM Calculator and
and

Least Common Multiple of 56979 and 56991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56979 and 56991, than apply into the LCM equation.

GCF(56979,56991) = 3
LCM(56979,56991) = ( 56979 × 56991) / 3
LCM(56979,56991) = 3247290189 / 3
LCM(56979,56991) = 1082430063

Least Common Multiple (LCM) of 56979 and 56991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56979 and 56991. First we will calculate the prime factors of 56979 and 56991.

Prime Factorization of 56979

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

56979 = 32 × 131 × 4871

Prime Factorization of 56991

Prime factors of 56991 are 3, 11, 157. Prime factorization of 56991 in exponential form is:

56991 = 31 × 112 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 56979 and 56991.

LCM(56979,56991) = 32 × 131 × 4871 × 112 × 1571
LCM(56979,56991) = 1082430063