What is the Least Common Multiple of 30666 and 30675?

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 30666 and 30675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30666 and 30675, than apply into the LCM equation.

GCF(30666,30675) = 3
LCM(30666,30675) = ( 30666 × 30675) / 3
LCM(30666,30675) = 940679550 / 3
LCM(30666,30675) = 313559850

Least Common Multiple (LCM) of 30666 and 30675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30666 and 30675. First we will calculate the prime factors of 30666 and 30675.

Prime Factorization of 30666

Prime Factorization of 30675

Now multiplying the highest exponent prime factors to calculate the LCM of 30666 and 30675.

LCM(30666,30675) = 2¹ × 3¹ × 19¹ × 269¹ × 5² × 409¹
LCM(30666,30675) = 313559850