What is the Least Common Multiple of 47304 and 47319?

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 47304 and 47319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47304 and 47319, than apply into the LCM equation.

GCF(47304,47319) = 3
LCM(47304,47319) = ( 47304 × 47319) / 3
LCM(47304,47319) = 2238377976 / 3
LCM(47304,47319) = 746125992

Least Common Multiple (LCM) of 47304 and 47319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47304 and 47319. First we will calculate the prime factors of 47304 and 47319.

Prime Factorization of 47304

Prime Factorization of 47319

Now multiplying the highest exponent prime factors to calculate the LCM of 47304 and 47319.

LCM(47304,47319) = 2³ × 3⁴ × 73¹ × 15773¹
LCM(47304,47319) = 746125992