What is the Least Common Multiple of 56178 and 56198?

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 56178 and 56198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56178 and 56198, than apply into the LCM equation.

GCF(56178,56198) = 2
LCM(56178,56198) = ( 56178 × 56198) / 2
LCM(56178,56198) = 3157091244 / 2
LCM(56178,56198) = 1578545622

Least Common Multiple (LCM) of 56178 and 56198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56178 and 56198. First we will calculate the prime factors of 56178 and 56198.

Prime Factorization of 56178

Prime Factorization of 56198

Now multiplying the highest exponent prime factors to calculate the LCM of 56178 and 56198.

LCM(56178,56198) = 2¹ × 3² × 3121¹ × 28099¹
LCM(56178,56198) = 1578545622