What is the Least Common Multiple of 48978 and 48987?

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 48987 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 48987, than apply into the LCM equation.

GCF(48978,48987) = 9
LCM(48978,48987) = ( 48978 × 48987) / 9
LCM(48978,48987) = 2399285286 / 9
LCM(48978,48987) = 266587254

Least Common Multiple (LCM) of 48978 and 48987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48978 and 48987. First we will calculate the prime factors of 48978 and 48987.

Prime Factorization of 48978

Prime Factorization of 48987

Now multiplying the highest exponent prime factors to calculate the LCM of 48978 and 48987.

LCM(48978,48987) = 2¹ × 3³ × 907¹ × 5443¹
LCM(48978,48987) = 266587254