What is the Least Common Multiple of 12135 and 12140?

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 12135 and 12140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12135 and 12140, than apply into the LCM equation.

GCF(12135,12140) = 5
LCM(12135,12140) = ( 12135 × 12140) / 5
LCM(12135,12140) = 147318900 / 5
LCM(12135,12140) = 29463780

Least Common Multiple (LCM) of 12135 and 12140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12135 and 12140. First we will calculate the prime factors of 12135 and 12140.

Prime Factorization of 12135

Prime Factorization of 12140

Now multiplying the highest exponent prime factors to calculate the LCM of 12135 and 12140.

LCM(12135,12140) = 3¹ × 5¹ × 809¹ × 2² × 607¹
LCM(12135,12140) = 29463780