What is the Least Common Multiple of 47920 and 47925?

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 47925 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 47925, than apply into the LCM equation.

GCF(47920,47925) = 5
LCM(47920,47925) = ( 47920 × 47925) / 5
LCM(47920,47925) = 2296566000 / 5
LCM(47920,47925) = 459313200

Least Common Multiple (LCM) of 47920 and 47925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47920 and 47925. First we will calculate the prime factors of 47920 and 47925.

Prime Factorization of 47920

Prime Factorization of 47925

Now multiplying the highest exponent prime factors to calculate the LCM of 47920 and 47925.

LCM(47920,47925) = 2⁴ × 5² × 599¹ × 3³ × 71¹
LCM(47920,47925) = 459313200