What is the Least Common Multiple of 56361 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 of 56361 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 56361 and 56379, than apply into the LCM equation.

GCF(56361,56379) = 3
LCM(56361,56379) = ( 56361 × 56379) / 3
LCM(56361,56379) = 3177576819 / 3
LCM(56361,56379) = 1059192273

Least Common Multiple (LCM) of 56361 and 56379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56361 and 56379. First we will calculate the prime factors of 56361 and 56379.

Prime Factorization of 56361

Prime Factorization of 56379

Now multiplying the highest exponent prime factors to calculate the LCM of 56361 and 56379.

LCM(56361,56379) = 3¹ × 18787¹ × 18793¹
LCM(56361,56379) = 1059192273