What is the Least Common Multiple of 47552 and 47568?

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 47552 and 47568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47552 and 47568, than apply into the LCM equation.

GCF(47552,47568) = 16
LCM(47552,47568) = ( 47552 × 47568) / 16
LCM(47552,47568) = 2261953536 / 16
LCM(47552,47568) = 141372096

Least Common Multiple (LCM) of 47552 and 47568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47552 and 47568. First we will calculate the prime factors of 47552 and 47568.

Prime Factorization of 47552

Prime Factorization of 47568

Now multiplying the highest exponent prime factors to calculate the LCM of 47552 and 47568.

LCM(47552,47568) = 2⁶ × 743¹ × 3¹ × 991¹
LCM(47552,47568) = 141372096