What is the Least Common Multiple of 9172 and 9189?

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 9172 and 9189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9172 and 9189, than apply into the LCM equation.

GCF(9172,9189) = 1
LCM(9172,9189) = ( 9172 × 9189) / 1
LCM(9172,9189) = 84281508 / 1
LCM(9172,9189) = 84281508

Least Common Multiple (LCM) of 9172 and 9189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9189. First we will calculate the prime factors of 9172 and 9189.

Prime Factorization of 9172

Prime Factorization of 9189

Now multiplying the highest exponent prime factors to calculate the LCM of 9172 and 9189.

LCM(9172,9189) = 2² × 2293¹ × 3² × 1021¹
LCM(9172,9189) = 84281508