What is the Least Common Multiple of 47920 and 47931?

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 47920 and 47931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47920 and 47931, than apply into the LCM equation.

GCF(47920,47931) = 1
LCM(47920,47931) = ( 47920 × 47931) / 1
LCM(47920,47931) = 2296853520 / 1
LCM(47920,47931) = 2296853520

Least Common Multiple (LCM) of 47920 and 47931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47920 and 47931. First we will calculate the prime factors of 47920 and 47931.

Prime Factorization of 47920

Prime Factorization of 47931

Now multiplying the highest exponent prime factors to calculate the LCM of 47920 and 47931.

LCM(47920,47931) = 2⁴ × 5¹ × 599¹ × 3¹ × 13¹ × 1229¹
LCM(47920,47931) = 2296853520