GCF and LCM Calculator Logo

What is the Least Common Multiple of 56264 and 56279?

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 56264 and 56279 is 3166481656.

LCM(56264,56279) = 3166481656

LCM Calculator and
and

Least Common Multiple of 56264 and 56279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56264 and 56279, than apply into the LCM equation.

GCF(56264,56279) = 1
LCM(56264,56279) = ( 56264 × 56279) / 1
LCM(56264,56279) = 3166481656 / 1
LCM(56264,56279) = 3166481656

Least Common Multiple (LCM) of 56264 and 56279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56264 and 56279. First we will calculate the prime factors of 56264 and 56279.

Prime Factorization of 56264

Prime factors of 56264 are 2, 13, 541. Prime factorization of 56264 in exponential form is:

56264 = 23 × 131 × 5411

Prime Factorization of 56279

Prime factors of 56279 are 167, 337. Prime factorization of 56279 in exponential form is:

56279 = 1671 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 56264 and 56279.

LCM(56264,56279) = 23 × 131 × 5411 × 1671 × 3371
LCM(56264,56279) = 3166481656