What is the Least Common Multiple of 9172 and 9192?

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 9192 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 9192, than apply into the LCM equation.

GCF(9172,9192) = 4
LCM(9172,9192) = ( 9172 × 9192) / 4
LCM(9172,9192) = 84309024 / 4
LCM(9172,9192) = 21077256

Least Common Multiple (LCM) of 9172 and 9192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9192. First we will calculate the prime factors of 9172 and 9192.

Prime Factorization of 9172

Prime Factorization of 9192

Now multiplying the highest exponent prime factors to calculate the LCM of 9172 and 9192.

LCM(9172,9192) = 2³ × 2293¹ × 3¹ × 383¹
LCM(9172,9192) = 21077256