What is the Least Common Multiple of 15900 and 15905?

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 15900 and 15905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15900 and 15905, than apply into the LCM equation.

GCF(15900,15905) = 5
LCM(15900,15905) = ( 15900 × 15905) / 5
LCM(15900,15905) = 252889500 / 5
LCM(15900,15905) = 50577900

Least Common Multiple (LCM) of 15900 and 15905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15900 and 15905. First we will calculate the prime factors of 15900 and 15905.

Prime Factorization of 15900

Prime Factorization of 15905

Now multiplying the highest exponent prime factors to calculate the LCM of 15900 and 15905.

LCM(15900,15905) = 2² × 3¹ × 5² × 53¹ × 3181¹
LCM(15900,15905) = 50577900