What is the Least Common Multiple of 48915 and 48933?

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 48915 and 48933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48915 and 48933, than apply into the LCM equation.

GCF(48915,48933) = 9
LCM(48915,48933) = ( 48915 × 48933) / 9
LCM(48915,48933) = 2393557695 / 9
LCM(48915,48933) = 265950855

Least Common Multiple (LCM) of 48915 and 48933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48915 and 48933. First we will calculate the prime factors of 48915 and 48933.

Prime Factorization of 48915

Prime Factorization of 48933

Now multiplying the highest exponent prime factors to calculate the LCM of 48915 and 48933.

LCM(48915,48933) = 3² × 5¹ × 1087¹ × 5437¹
LCM(48915,48933) = 265950855