What is the Least Common Multiple of 47608 and 47627?

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 47608 and 47627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47608 and 47627, than apply into the LCM equation.

GCF(47608,47627) = 1
LCM(47608,47627) = ( 47608 × 47627) / 1
LCM(47608,47627) = 2267426216 / 1
LCM(47608,47627) = 2267426216

Least Common Multiple (LCM) of 47608 and 47627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47608 and 47627. First we will calculate the prime factors of 47608 and 47627.

Prime Factorization of 47608

Prime Factorization of 47627

Now multiplying the highest exponent prime factors to calculate the LCM of 47608 and 47627.

LCM(47608,47627) = 2³ × 11¹ × 541¹ × 97¹ × 491¹
LCM(47608,47627) = 2267426216