GCF and LCM Calculator Logo

What is the Least Common Multiple of 56479 and 56484?

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 56479 and 56484 is 3190159836.

LCM(56479,56484) = 3190159836

LCM Calculator and
and

Least Common Multiple of 56479 and 56484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56479 and 56484, than apply into the LCM equation.

GCF(56479,56484) = 1
LCM(56479,56484) = ( 56479 × 56484) / 1
LCM(56479,56484) = 3190159836 / 1
LCM(56479,56484) = 3190159836

Least Common Multiple (LCM) of 56479 and 56484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56479 and 56484. First we will calculate the prime factors of 56479 and 56484.

Prime Factorization of 56479

Prime factors of 56479 are 56479. Prime factorization of 56479 in exponential form is:

56479 = 564791

Prime Factorization of 56484

Prime factors of 56484 are 2, 3, 523. Prime factorization of 56484 in exponential form is:

56484 = 22 × 33 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 56479 and 56484.

LCM(56479,56484) = 564791 × 22 × 33 × 5231
LCM(56479,56484) = 3190159836