GCF and LCM Calculator Logo

What is the Least Common Multiple of 56391 and 56399?

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 56391 and 56399 is 3180396009.

LCM(56391,56399) = 3180396009

LCM Calculator and
and

Least Common Multiple of 56391 and 56399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56391 and 56399, than apply into the LCM equation.

GCF(56391,56399) = 1
LCM(56391,56399) = ( 56391 × 56399) / 1
LCM(56391,56399) = 3180396009 / 1
LCM(56391,56399) = 3180396009

Least Common Multiple (LCM) of 56391 and 56399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56391 and 56399. First we will calculate the prime factors of 56391 and 56399.

Prime Factorization of 56391

Prime factors of 56391 are 3, 18797. Prime factorization of 56391 in exponential form is:

56391 = 31 × 187971

Prime Factorization of 56399

Prime factors of 56399 are 7, 1151. Prime factorization of 56399 in exponential form is:

56399 = 72 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 56391 and 56399.

LCM(56391,56399) = 31 × 187971 × 72 × 11511
LCM(56391,56399) = 3180396009