What is the Least Common Multiple of 48978 and 48996?

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 48978 and 48996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48978 and 48996, than apply into the LCM equation.

GCF(48978,48996) = 18
LCM(48978,48996) = ( 48978 × 48996) / 18
LCM(48978,48996) = 2399726088 / 18
LCM(48978,48996) = 133318116

Least Common Multiple (LCM) of 48978 and 48996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48978 and 48996. First we will calculate the prime factors of 48978 and 48996.

Prime Factorization of 48978

Prime Factorization of 48996

Now multiplying the highest exponent prime factors to calculate the LCM of 48978 and 48996.

LCM(48978,48996) = 2² × 3³ × 907¹ × 1361¹
LCM(48978,48996) = 133318116