What is the Least Common Multiple of 18900 and 18905?

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 18900 and 18905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18900 and 18905, than apply into the LCM equation.

GCF(18900,18905) = 5
LCM(18900,18905) = ( 18900 × 18905) / 5
LCM(18900,18905) = 357304500 / 5
LCM(18900,18905) = 71460900

Least Common Multiple (LCM) of 18900 and 18905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18900 and 18905. First we will calculate the prime factors of 18900 and 18905.

Prime Factorization of 18900

Prime Factorization of 18905

Now multiplying the highest exponent prime factors to calculate the LCM of 18900 and 18905.

LCM(18900,18905) = 2² × 3³ × 5² × 7¹ × 19¹ × 199¹
LCM(18900,18905) = 71460900