What is the Least Common Multiple of 47072 and 47081?

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 47081 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 47081, than apply into the LCM equation.

GCF(47072,47081) = 1
LCM(47072,47081) = ( 47072 × 47081) / 1
LCM(47072,47081) = 2216196832 / 1
LCM(47072,47081) = 2216196832

Least Common Multiple (LCM) of 47072 and 47081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47072 and 47081. First we will calculate the prime factors of 47072 and 47081.

Prime Factorization of 47072

Prime Factorization of 47081

Now multiplying the highest exponent prime factors to calculate the LCM of 47072 and 47081.

LCM(47072,47081) = 2⁵ × 1471¹ × 23² × 89¹
LCM(47072,47081) = 2216196832