What is the Least Common Multiple of 47008 and 47023?

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 47008 and 47023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47008 and 47023, than apply into the LCM equation.

GCF(47008,47023) = 1
LCM(47008,47023) = ( 47008 × 47023) / 1
LCM(47008,47023) = 2210457184 / 1
LCM(47008,47023) = 2210457184

Least Common Multiple (LCM) of 47008 and 47023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47008 and 47023. First we will calculate the prime factors of 47008 and 47023.

Prime Factorization of 47008

Prime Factorization of 47023

Now multiplying the highest exponent prime factors to calculate the LCM of 47008 and 47023.

LCM(47008,47023) = 2⁵ × 13¹ × 113¹ × 59¹ × 797¹
LCM(47008,47023) = 2210457184