What is the Least Common Multiple of 47575 and 47587?

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 47575 and 47587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47575 and 47587, than apply into the LCM equation.

GCF(47575,47587) = 1
LCM(47575,47587) = ( 47575 × 47587) / 1
LCM(47575,47587) = 2263951525 / 1
LCM(47575,47587) = 2263951525

Least Common Multiple (LCM) of 47575 and 47587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47575 and 47587. First we will calculate the prime factors of 47575 and 47587.

Prime Factorization of 47575

Prime Factorization of 47587

Now multiplying the highest exponent prime factors to calculate the LCM of 47575 and 47587.

LCM(47575,47587) = 5² × 11¹ × 173¹ × 23¹ × 2069¹
LCM(47575,47587) = 2263951525