What is the Least Common Multiple of 47289 and 47304?

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 47289 and 47304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47289 and 47304, than apply into the LCM equation.

GCF(47289,47304) = 3
LCM(47289,47304) = ( 47289 × 47304) / 3
LCM(47289,47304) = 2236958856 / 3
LCM(47289,47304) = 745652952

Least Common Multiple (LCM) of 47289 and 47304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47289 and 47304. First we will calculate the prime factors of 47289 and 47304.

Prime Factorization of 47289

Prime Factorization of 47304

Now multiplying the highest exponent prime factors to calculate the LCM of 47289 and 47304.

LCM(47289,47304) = 3⁴ × 11¹ × 1433¹ × 2³ × 73¹
LCM(47289,47304) = 745652952