GCF and LCM Calculator Logo

What is the Least Common Multiple of 56422 and 56426?

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 56422 and 56426 is 1591833886.

LCM(56422,56426) = 1591833886

LCM Calculator and
and

Least Common Multiple of 56422 and 56426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56422 and 56426, than apply into the LCM equation.

GCF(56422,56426) = 2
LCM(56422,56426) = ( 56422 × 56426) / 2
LCM(56422,56426) = 3183667772 / 2
LCM(56422,56426) = 1591833886

Least Common Multiple (LCM) of 56422 and 56426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56422 and 56426. First we will calculate the prime factors of 56422 and 56426.

Prime Factorization of 56422

Prime factors of 56422 are 2, 28211. Prime factorization of 56422 in exponential form is:

56422 = 21 × 282111

Prime Factorization of 56426

Prime factors of 56426 are 2, 89, 317. Prime factorization of 56426 in exponential form is:

56426 = 21 × 891 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 56422 and 56426.

LCM(56422,56426) = 21 × 282111 × 891 × 3171
LCM(56422,56426) = 1591833886