GCF and LCM Calculator Logo

What is the Least Common Multiple of 56464 and 56477?

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 56464 and 56477 is 3188917328.

LCM(56464,56477) = 3188917328

LCM Calculator and
and

Least Common Multiple of 56464 and 56477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56464 and 56477, than apply into the LCM equation.

GCF(56464,56477) = 1
LCM(56464,56477) = ( 56464 × 56477) / 1
LCM(56464,56477) = 3188917328 / 1
LCM(56464,56477) = 3188917328

Least Common Multiple (LCM) of 56464 and 56477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56464 and 56477. First we will calculate the prime factors of 56464 and 56477.

Prime Factorization of 56464

Prime factors of 56464 are 2, 3529. Prime factorization of 56464 in exponential form is:

56464 = 24 × 35291

Prime Factorization of 56477

Prime factors of 56477 are 56477. Prime factorization of 56477 in exponential form is:

56477 = 564771

Now multiplying the highest exponent prime factors to calculate the LCM of 56464 and 56477.

LCM(56464,56477) = 24 × 35291 × 564771
LCM(56464,56477) = 3188917328