What is the Least Common Multiple of 56826 and 56844?

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 56826 and 56844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56826 and 56844, than apply into the LCM equation.

GCF(56826,56844) = 18
LCM(56826,56844) = ( 56826 × 56844) / 18
LCM(56826,56844) = 3230217144 / 18
LCM(56826,56844) = 179456508

Least Common Multiple (LCM) of 56826 and 56844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56826 and 56844. First we will calculate the prime factors of 56826 and 56844.

Prime Factorization of 56826

Prime Factorization of 56844

Now multiplying the highest exponent prime factors to calculate the LCM of 56826 and 56844.

LCM(56826,56844) = 2² × 3² × 7¹ × 11¹ × 41¹ × 1579¹
LCM(56826,56844) = 179456508