What is the Least Common Multiple of 47325 and 47330?

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 47325 and 47330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47325 and 47330, than apply into the LCM equation.

GCF(47325,47330) = 5
LCM(47325,47330) = ( 47325 × 47330) / 5
LCM(47325,47330) = 2239892250 / 5
LCM(47325,47330) = 447978450

Least Common Multiple (LCM) of 47325 and 47330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47325 and 47330. First we will calculate the prime factors of 47325 and 47330.

Prime Factorization of 47325

Prime Factorization of 47330

Now multiplying the highest exponent prime factors to calculate the LCM of 47325 and 47330.

LCM(47325,47330) = 3¹ × 5² × 631¹ × 2¹ × 4733¹
LCM(47325,47330) = 447978450