What is the Least Common Multiple of 47512 and 47527?

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 47512 and 47527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47512 and 47527, than apply into the LCM equation.

GCF(47512,47527) = 1
LCM(47512,47527) = ( 47512 × 47527) / 1
LCM(47512,47527) = 2258102824 / 1
LCM(47512,47527) = 2258102824

Least Common Multiple (LCM) of 47512 and 47527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47512 and 47527. First we will calculate the prime factors of 47512 and 47527.

Prime Factorization of 47512

Prime Factorization of 47527

Now multiplying the highest exponent prime factors to calculate the LCM of 47512 and 47527.

LCM(47512,47527) = 2³ × 5939¹ × 47527¹
LCM(47512,47527) = 2258102824