GCF and LCM Calculator Logo

What is the Least Common Multiple of 56949 and 56965?

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 56949 and 56965 is 3244099785.

LCM(56949,56965) = 3244099785

LCM Calculator and
and

Least Common Multiple of 56949 and 56965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56949 and 56965, than apply into the LCM equation.

GCF(56949,56965) = 1
LCM(56949,56965) = ( 56949 × 56965) / 1
LCM(56949,56965) = 3244099785 / 1
LCM(56949,56965) = 3244099785

Least Common Multiple (LCM) of 56949 and 56965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56949 and 56965. First we will calculate the prime factors of 56949 and 56965.

Prime Factorization of 56949

Prime factors of 56949 are 3, 41, 463. Prime factorization of 56949 in exponential form is:

56949 = 31 × 411 × 4631

Prime Factorization of 56965

Prime factors of 56965 are 5, 11393. Prime factorization of 56965 in exponential form is:

56965 = 51 × 113931

Now multiplying the highest exponent prime factors to calculate the LCM of 56949 and 56965.

LCM(56949,56965) = 31 × 411 × 4631 × 51 × 113931
LCM(56949,56965) = 3244099785