What is the Least Common Multiple of 47488 and 47504?

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 47488 and 47504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47488 and 47504, than apply into the LCM equation.

GCF(47488,47504) = 16
LCM(47488,47504) = ( 47488 × 47504) / 16
LCM(47488,47504) = 2255869952 / 16
LCM(47488,47504) = 140991872

Least Common Multiple (LCM) of 47488 and 47504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47488 and 47504. First we will calculate the prime factors of 47488 and 47504.

Prime Factorization of 47488

Prime Factorization of 47504

Now multiplying the highest exponent prime factors to calculate the LCM of 47488 and 47504.

LCM(47488,47504) = 2⁷ × 7¹ × 53¹ × 2969¹
LCM(47488,47504) = 140991872