What is the Least Common Multiple of 47178 and 47196?

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 47178 and 47196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47178 and 47196, than apply into the LCM equation.

GCF(47178,47196) = 18
LCM(47178,47196) = ( 47178 × 47196) / 18
LCM(47178,47196) = 2226612888 / 18
LCM(47178,47196) = 123700716

Least Common Multiple (LCM) of 47178 and 47196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47178 and 47196. First we will calculate the prime factors of 47178 and 47196.

Prime Factorization of 47178

Prime Factorization of 47196

Now multiplying the highest exponent prime factors to calculate the LCM of 47178 and 47196.

LCM(47178,47196) = 2² × 3³ × 2621¹ × 19¹ × 23¹
LCM(47178,47196) = 123700716