What is the Least Common Multiple of 69174 and 69192?

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 69174 and 69192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69174 and 69192, than apply into the LCM equation.

GCF(69174,69192) = 18
LCM(69174,69192) = ( 69174 × 69192) / 18
LCM(69174,69192) = 4786287408 / 18
LCM(69174,69192) = 265904856

Least Common Multiple (LCM) of 69174 and 69192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69174 and 69192. First we will calculate the prime factors of 69174 and 69192.

Prime Factorization of 69174

Prime Factorization of 69192

Now multiplying the highest exponent prime factors to calculate the LCM of 69174 and 69192.

LCM(69174,69192) = 2³ × 3⁴ × 7¹ × 61¹ × 31²
LCM(69174,69192) = 265904856