GCF and LCM Calculator Logo

What is the Least Common Multiple of 56322 and 56336?

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 56322 and 56336 is 226639728.

LCM(56322,56336) = 226639728

LCM Calculator and
and

Least Common Multiple of 56322 and 56336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56322 and 56336, than apply into the LCM equation.

GCF(56322,56336) = 14
LCM(56322,56336) = ( 56322 × 56336) / 14
LCM(56322,56336) = 3172956192 / 14
LCM(56322,56336) = 226639728

Least Common Multiple (LCM) of 56322 and 56336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56322 and 56336. First we will calculate the prime factors of 56322 and 56336.

Prime Factorization of 56322

Prime factors of 56322 are 2, 3, 7, 149. Prime factorization of 56322 in exponential form is:

56322 = 21 × 33 × 71 × 1491

Prime Factorization of 56336

Prime factors of 56336 are 2, 7, 503. Prime factorization of 56336 in exponential form is:

56336 = 24 × 71 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 56322 and 56336.

LCM(56322,56336) = 24 × 33 × 71 × 1491 × 5031
LCM(56322,56336) = 226639728