What is the Least Common Multiple of 56826 and 56837?

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 56837 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 56837, than apply into the LCM equation.

GCF(56826,56837) = 11
LCM(56826,56837) = ( 56826 × 56837) / 11
LCM(56826,56837) = 3229819362 / 11
LCM(56826,56837) = 293619942

Least Common Multiple (LCM) of 56826 and 56837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56826 and 56837. First we will calculate the prime factors of 56826 and 56837.

Prime Factorization of 56826

Prime Factorization of 56837

Now multiplying the highest exponent prime factors to calculate the LCM of 56826 and 56837.

LCM(56826,56837) = 2¹ × 3² × 7¹ × 11¹ × 41¹ × 5167¹
LCM(56826,56837) = 293619942