GCF and LCM Calculator Logo

What is the Least Common Multiple of 56372 and 56379?

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 56372 and 56379 is 3178196988.

LCM(56372,56379) = 3178196988

LCM Calculator and
and

Least Common Multiple of 56372 and 56379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56372 and 56379, than apply into the LCM equation.

GCF(56372,56379) = 1
LCM(56372,56379) = ( 56372 × 56379) / 1
LCM(56372,56379) = 3178196988 / 1
LCM(56372,56379) = 3178196988

Least Common Multiple (LCM) of 56372 and 56379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56372 and 56379. First we will calculate the prime factors of 56372 and 56379.

Prime Factorization of 56372

Prime factors of 56372 are 2, 17, 829. Prime factorization of 56372 in exponential form is:

56372 = 22 × 171 × 8291

Prime Factorization of 56379

Prime factors of 56379 are 3, 18793. Prime factorization of 56379 in exponential form is:

56379 = 31 × 187931

Now multiplying the highest exponent prime factors to calculate the LCM of 56372 and 56379.

LCM(56372,56379) = 22 × 171 × 8291 × 31 × 187931
LCM(56372,56379) = 3178196988