What is the Least Common Multiple of 47466 and 47484?

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 47466 and 47484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47466 and 47484, than apply into the LCM equation.

GCF(47466,47484) = 18
LCM(47466,47484) = ( 47466 × 47484) / 18
LCM(47466,47484) = 2253875544 / 18
LCM(47466,47484) = 125215308

Least Common Multiple (LCM) of 47466 and 47484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47466 and 47484. First we will calculate the prime factors of 47466 and 47484.

Prime Factorization of 47466

Prime Factorization of 47484

Now multiplying the highest exponent prime factors to calculate the LCM of 47466 and 47484.

LCM(47466,47484) = 2² × 3⁴ × 293¹ × 1319¹
LCM(47466,47484) = 125215308