What is the Least Common Multiple of 27915 and 27933?

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 27915 and 27933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27915 and 27933, than apply into the LCM equation.

GCF(27915,27933) = 3
LCM(27915,27933) = ( 27915 × 27933) / 3
LCM(27915,27933) = 779749695 / 3
LCM(27915,27933) = 259916565

Least Common Multiple (LCM) of 27915 and 27933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27915 and 27933. First we will calculate the prime factors of 27915 and 27933.

Prime Factorization of 27915

Prime Factorization of 27933

Now multiplying the highest exponent prime factors to calculate the LCM of 27915 and 27933.

LCM(27915,27933) = 3¹ × 5¹ × 1861¹ × 9311¹
LCM(27915,27933) = 259916565