What is the Least Common Multiple of 36897 and 36903?

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 36897 and 36903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36897 and 36903, than apply into the LCM equation.

GCF(36897,36903) = 3
LCM(36897,36903) = ( 36897 × 36903) / 3
LCM(36897,36903) = 1361609991 / 3
LCM(36897,36903) = 453869997

Least Common Multiple (LCM) of 36897 and 36903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36897 and 36903. First we will calculate the prime factors of 36897 and 36903.

Prime Factorization of 36897

Prime Factorization of 36903

Now multiplying the highest exponent prime factors to calculate the LCM of 36897 and 36903.

LCM(36897,36903) = 3¹ × 7² × 251¹ × 12301¹
LCM(36897,36903) = 453869997