What is the Least Common Multiple of 47085 and 47100?

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 47085 and 47100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47085 and 47100, than apply into the LCM equation.

GCF(47085,47100) = 15
LCM(47085,47100) = ( 47085 × 47100) / 15
LCM(47085,47100) = 2217703500 / 15
LCM(47085,47100) = 147846900

Least Common Multiple (LCM) of 47085 and 47100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47085 and 47100. First we will calculate the prime factors of 47085 and 47100.

Prime Factorization of 47085

Prime Factorization of 47100

Now multiplying the highest exponent prime factors to calculate the LCM of 47085 and 47100.

LCM(47085,47100) = 3¹ × 5² × 43¹ × 73¹ × 2² × 157¹
LCM(47085,47100) = 147846900