What is the Least Common Multiple of 36915 and 36933?

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 36915 and 36933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36915 and 36933, than apply into the LCM equation.

GCF(36915,36933) = 3
LCM(36915,36933) = ( 36915 × 36933) / 3
LCM(36915,36933) = 1363381695 / 3
LCM(36915,36933) = 454460565

Least Common Multiple (LCM) of 36915 and 36933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36915 and 36933. First we will calculate the prime factors of 36915 and 36933.

Prime Factorization of 36915

Prime Factorization of 36933

Now multiplying the highest exponent prime factors to calculate the LCM of 36915 and 36933.

LCM(36915,36933) = 3¹ × 5¹ × 23¹ × 107¹ × 13¹ × 947¹
LCM(36915,36933) = 454460565