What is the Least Common Multiple of 18632 and 18638?

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 18632 and 18638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18632 and 18638, than apply into the LCM equation.

GCF(18632,18638) = 2
LCM(18632,18638) = ( 18632 × 18638) / 2
LCM(18632,18638) = 347263216 / 2
LCM(18632,18638) = 173631608

Least Common Multiple (LCM) of 18632 and 18638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18632 and 18638. First we will calculate the prime factors of 18632 and 18638.

Prime Factorization of 18632

Prime Factorization of 18638

Now multiplying the highest exponent prime factors to calculate the LCM of 18632 and 18638.

LCM(18632,18638) = 2³ × 17¹ × 137¹ × 9319¹
LCM(18632,18638) = 173631608