What is the Least Common Multiple of 47072 and 47088?

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 47072 and 47088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47072 and 47088, than apply into the LCM equation.

GCF(47072,47088) = 16
LCM(47072,47088) = ( 47072 × 47088) / 16
LCM(47072,47088) = 2216526336 / 16
LCM(47072,47088) = 138532896

Least Common Multiple (LCM) of 47072 and 47088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47072 and 47088. First we will calculate the prime factors of 47072 and 47088.

Prime Factorization of 47072

Prime Factorization of 47088

Now multiplying the highest exponent prime factors to calculate the LCM of 47072 and 47088.

LCM(47072,47088) = 2⁵ × 1471¹ × 3³ × 109¹
LCM(47072,47088) = 138532896