GCF and LCM Calculator Logo

What is the Least Common Multiple of 56556 and 56567?

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 56556 and 56567 is 3199203252.

LCM(56556,56567) = 3199203252

LCM Calculator and
and

Least Common Multiple of 56556 and 56567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56556 and 56567, than apply into the LCM equation.

GCF(56556,56567) = 1
LCM(56556,56567) = ( 56556 × 56567) / 1
LCM(56556,56567) = 3199203252 / 1
LCM(56556,56567) = 3199203252

Least Common Multiple (LCM) of 56556 and 56567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56556 and 56567. First we will calculate the prime factors of 56556 and 56567.

Prime Factorization of 56556

Prime factors of 56556 are 2, 3, 1571. Prime factorization of 56556 in exponential form is:

56556 = 22 × 32 × 15711

Prime Factorization of 56567

Prime factors of 56567 are 7, 8081. Prime factorization of 56567 in exponential form is:

56567 = 71 × 80811

Now multiplying the highest exponent prime factors to calculate the LCM of 56556 and 56567.

LCM(56556,56567) = 22 × 32 × 15711 × 71 × 80811
LCM(56556,56567) = 3199203252