GCF and LCM Calculator Logo

What is the Least Common Multiple of 56778 and 56798?

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 56778 and 56798 is 1612438422.

LCM(56778,56798) = 1612438422

LCM Calculator and
and

Least Common Multiple of 56778 and 56798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56778 and 56798, than apply into the LCM equation.

GCF(56778,56798) = 2
LCM(56778,56798) = ( 56778 × 56798) / 2
LCM(56778,56798) = 3224876844 / 2
LCM(56778,56798) = 1612438422

Least Common Multiple (LCM) of 56778 and 56798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56778 and 56798. First we will calculate the prime factors of 56778 and 56798.

Prime Factorization of 56778

Prime factors of 56778 are 2, 3, 9463. Prime factorization of 56778 in exponential form is:

56778 = 21 × 31 × 94631

Prime Factorization of 56798

Prime factors of 56798 are 2, 7, 4057. Prime factorization of 56798 in exponential form is:

56798 = 21 × 71 × 40571

Now multiplying the highest exponent prime factors to calculate the LCM of 56778 and 56798.

LCM(56778,56798) = 21 × 31 × 94631 × 71 × 40571
LCM(56778,56798) = 1612438422