What is the Least Common Multiple of 12258 and 12271?

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 12258 and 12271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12258 and 12271, than apply into the LCM equation.

GCF(12258,12271) = 1
LCM(12258,12271) = ( 12258 × 12271) / 1
LCM(12258,12271) = 150417918 / 1
LCM(12258,12271) = 150417918

Least Common Multiple (LCM) of 12258 and 12271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12258 and 12271. First we will calculate the prime factors of 12258 and 12271.

Prime Factorization of 12258

Prime Factorization of 12271

Now multiplying the highest exponent prime factors to calculate the LCM of 12258 and 12271.

LCM(12258,12271) = 2¹ × 3³ × 227¹ × 7¹ × 1753¹
LCM(12258,12271) = 150417918