What is the Least Common Multiple of 47400 and 47420?

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 47420 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 47420, than apply into the LCM equation.

GCF(47400,47420) = 20
LCM(47400,47420) = ( 47400 × 47420) / 20
LCM(47400,47420) = 2247708000 / 20
LCM(47400,47420) = 112385400

Least Common Multiple (LCM) of 47400 and 47420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47400 and 47420. First we will calculate the prime factors of 47400 and 47420.

Prime Factorization of 47400

Prime Factorization of 47420

Now multiplying the highest exponent prime factors to calculate the LCM of 47400 and 47420.

LCM(47400,47420) = 2³ × 3¹ × 5² × 79¹ × 2371¹
LCM(47400,47420) = 112385400