What is the Least Common Multiple of 12172 and 12180?

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 12172 and 12180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12172 and 12180, than apply into the LCM equation.

GCF(12172,12180) = 4
LCM(12172,12180) = ( 12172 × 12180) / 4
LCM(12172,12180) = 148254960 / 4
LCM(12172,12180) = 37063740

Least Common Multiple (LCM) of 12172 and 12180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12172 and 12180. First we will calculate the prime factors of 12172 and 12180.

Prime Factorization of 12172

Prime Factorization of 12180

Now multiplying the highest exponent prime factors to calculate the LCM of 12172 and 12180.

LCM(12172,12180) = 2² × 17¹ × 179¹ × 3¹ × 5¹ × 7¹ × 29¹
LCM(12172,12180) = 37063740