What is the Least Common Multiple of 30915 and 30933?

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 30915 and 30933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30915 and 30933, than apply into the LCM equation.

GCF(30915,30933) = 9
LCM(30915,30933) = ( 30915 × 30933) / 9
LCM(30915,30933) = 956293695 / 9
LCM(30915,30933) = 106254855

Least Common Multiple (LCM) of 30915 and 30933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30915 and 30933. First we will calculate the prime factors of 30915 and 30933.

Prime Factorization of 30915

Prime Factorization of 30933

Now multiplying the highest exponent prime factors to calculate the LCM of 30915 and 30933.

LCM(30915,30933) = 3³ × 5¹ × 229¹ × 7¹ × 491¹
LCM(30915,30933) = 106254855