What is the Least Common Multiple of 47680 and 47700?

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 47680 and 47700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47680 and 47700, than apply into the LCM equation.

GCF(47680,47700) = 20
LCM(47680,47700) = ( 47680 × 47700) / 20
LCM(47680,47700) = 2274336000 / 20
LCM(47680,47700) = 113716800

Least Common Multiple (LCM) of 47680 and 47700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47680 and 47700. First we will calculate the prime factors of 47680 and 47700.

Prime Factorization of 47680

Prime Factorization of 47700

Now multiplying the highest exponent prime factors to calculate the LCM of 47680 and 47700.

LCM(47680,47700) = 2⁶ × 5² × 149¹ × 3² × 53¹
LCM(47680,47700) = 113716800