What is the Least Common Multiple of 47100 and 47120?

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 47100 and 47120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47100 and 47120, than apply into the LCM equation.

GCF(47100,47120) = 20
LCM(47100,47120) = ( 47100 × 47120) / 20
LCM(47100,47120) = 2219352000 / 20
LCM(47100,47120) = 110967600

Least Common Multiple (LCM) of 47100 and 47120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47100 and 47120. First we will calculate the prime factors of 47100 and 47120.

Prime Factorization of 47100

Prime Factorization of 47120

Now multiplying the highest exponent prime factors to calculate the LCM of 47100 and 47120.

LCM(47100,47120) = 2⁴ × 3¹ × 5² × 157¹ × 19¹ × 31¹
LCM(47100,47120) = 110967600