What is the Least Common Multiple of 18625 and 18640?

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 18625 and 18640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18625 and 18640, than apply into the LCM equation.

GCF(18625,18640) = 5
LCM(18625,18640) = ( 18625 × 18640) / 5
LCM(18625,18640) = 347170000 / 5
LCM(18625,18640) = 69434000

Least Common Multiple (LCM) of 18625 and 18640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18625 and 18640. First we will calculate the prime factors of 18625 and 18640.

Prime Factorization of 18625

Prime Factorization of 18640

Now multiplying the highest exponent prime factors to calculate the LCM of 18625 and 18640.

LCM(18625,18640) = 5³ × 149¹ × 2⁴ × 233¹
LCM(18625,18640) = 69434000