GCF and LCM Calculator Logo

What is the Least Common Multiple of 56937 and 56955?

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 56937 and 56955 is 1080948945.

LCM(56937,56955) = 1080948945

LCM Calculator and
and

Least Common Multiple of 56937 and 56955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56937 and 56955, than apply into the LCM equation.

GCF(56937,56955) = 3
LCM(56937,56955) = ( 56937 × 56955) / 3
LCM(56937,56955) = 3242846835 / 3
LCM(56937,56955) = 1080948945

Least Common Multiple (LCM) of 56937 and 56955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56937 and 56955. First we will calculate the prime factors of 56937 and 56955.

Prime Factorization of 56937

Prime factors of 56937 are 3, 18979. Prime factorization of 56937 in exponential form is:

56937 = 31 × 189791

Prime Factorization of 56955

Prime factors of 56955 are 3, 5, 3797. Prime factorization of 56955 in exponential form is:

56955 = 31 × 51 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 56937 and 56955.

LCM(56937,56955) = 31 × 189791 × 51 × 37971
LCM(56937,56955) = 1080948945