What is the Least Common Multiple of 47400 and 47415?

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 47400 and 47415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47400 and 47415, than apply into the LCM equation.

GCF(47400,47415) = 15
LCM(47400,47415) = ( 47400 × 47415) / 15
LCM(47400,47415) = 2247471000 / 15
LCM(47400,47415) = 149831400

Least Common Multiple (LCM) of 47400 and 47415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47400 and 47415. First we will calculate the prime factors of 47400 and 47415.

Prime Factorization of 47400

Prime Factorization of 47415

Now multiplying the highest exponent prime factors to calculate the LCM of 47400 and 47415.

LCM(47400,47415) = 2³ × 3¹ × 5² × 79¹ × 29¹ × 109¹
LCM(47400,47415) = 149831400