GCF and LCM Calculator Logo

What is the Least Common Multiple of 56970 and 56982?

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 56970 and 56982 is 541044090.

LCM(56970,56982) = 541044090

LCM Calculator and
and

Least Common Multiple of 56970 and 56982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56970 and 56982, than apply into the LCM equation.

GCF(56970,56982) = 6
LCM(56970,56982) = ( 56970 × 56982) / 6
LCM(56970,56982) = 3246264540 / 6
LCM(56970,56982) = 541044090

Least Common Multiple (LCM) of 56970 and 56982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56970 and 56982. First we will calculate the prime factors of 56970 and 56982.

Prime Factorization of 56970

Prime factors of 56970 are 2, 3, 5, 211. Prime factorization of 56970 in exponential form is:

56970 = 21 × 33 × 51 × 2111

Prime Factorization of 56982

Prime factors of 56982 are 2, 3, 9497. Prime factorization of 56982 in exponential form is:

56982 = 21 × 31 × 94971

Now multiplying the highest exponent prime factors to calculate the LCM of 56970 and 56982.

LCM(56970,56982) = 21 × 33 × 51 × 2111 × 94971
LCM(56970,56982) = 541044090