What is the Least Common Multiple of 30255 and 30271?

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 30255 and 30271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30255 and 30271, than apply into the LCM equation.

GCF(30255,30271) = 1
LCM(30255,30271) = ( 30255 × 30271) / 1
LCM(30255,30271) = 915849105 / 1
LCM(30255,30271) = 915849105

Least Common Multiple (LCM) of 30255 and 30271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30255 and 30271. First we will calculate the prime factors of 30255 and 30271.

Prime Factorization of 30255

Prime Factorization of 30271

Now multiplying the highest exponent prime factors to calculate the LCM of 30255 and 30271.

LCM(30255,30271) = 3¹ × 5¹ × 2017¹ × 30271¹
LCM(30255,30271) = 915849105