GCF and LCM Calculator Logo

What is the Least Common Multiple of 56381 and 56400?

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 56381 and 56400 is 3179888400.

LCM(56381,56400) = 3179888400

LCM Calculator and
and

Least Common Multiple of 56381 and 56400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56381 and 56400, than apply into the LCM equation.

GCF(56381,56400) = 1
LCM(56381,56400) = ( 56381 × 56400) / 1
LCM(56381,56400) = 3179888400 / 1
LCM(56381,56400) = 3179888400

Least Common Multiple (LCM) of 56381 and 56400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56381 and 56400. First we will calculate the prime factors of 56381 and 56400.

Prime Factorization of 56381

Prime factors of 56381 are 13, 4337. Prime factorization of 56381 in exponential form is:

56381 = 131 × 43371

Prime Factorization of 56400

Prime factors of 56400 are 2, 3, 5, 47. Prime factorization of 56400 in exponential form is:

56400 = 24 × 31 × 52 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 56381 and 56400.

LCM(56381,56400) = 131 × 43371 × 24 × 31 × 52 × 471
LCM(56381,56400) = 3179888400