What is the Least Common Multiple of 48731 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 48731 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 48731 and 48744, than apply into the LCM equation.

GCF(48731,48744) = 1
LCM(48731,48744) = ( 48731 × 48744) / 1
LCM(48731,48744) = 2375343864 / 1
LCM(48731,48744) = 2375343864

Least Common Multiple (LCM) of 48731 and 48744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48731 and 48744. First we will calculate the prime factors of 48731 and 48744.

Prime Factorization of 48731

Prime Factorization of 48744

Now multiplying the highest exponent prime factors to calculate the LCM of 48731 and 48744.

LCM(48731,48744) = 48731¹ × 2³ × 3² × 677¹
LCM(48731,48744) = 2375343864