What is the Least Common Multiple of 48735 and 48744?

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 48735 and 48744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48735 and 48744, than apply into the LCM equation.

GCF(48735,48744) = 9
LCM(48735,48744) = ( 48735 × 48744) / 9
LCM(48735,48744) = 2375538840 / 9
LCM(48735,48744) = 263948760

Least Common Multiple (LCM) of 48735 and 48744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48735 and 48744. First we will calculate the prime factors of 48735 and 48744.

Prime Factorization of 48735

Prime Factorization of 48744

Now multiplying the highest exponent prime factors to calculate the LCM of 48735 and 48744.

LCM(48735,48744) = 3³ × 5¹ × 19² × 2³ × 677¹
LCM(48735,48744) = 263948760