What is the Least Common Multiple of 47625 and 47640?

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 47625 and 47640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47625 and 47640, than apply into the LCM equation.

GCF(47625,47640) = 15
LCM(47625,47640) = ( 47625 × 47640) / 15
LCM(47625,47640) = 2268855000 / 15
LCM(47625,47640) = 151257000

Least Common Multiple (LCM) of 47625 and 47640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47625 and 47640. First we will calculate the prime factors of 47625 and 47640.

Prime Factorization of 47625

Prime Factorization of 47640

Now multiplying the highest exponent prime factors to calculate the LCM of 47625 and 47640.

LCM(47625,47640) = 3¹ × 5³ × 127¹ × 2³ × 397¹
LCM(47625,47640) = 151257000