What is the Least Common Multiple of 92172 and 92187?

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 92172 and 92187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92172 and 92187, than apply into the LCM equation.

GCF(92172,92187) = 3
LCM(92172,92187) = ( 92172 × 92187) / 3
LCM(92172,92187) = 8497060164 / 3
LCM(92172,92187) = 2832353388

Least Common Multiple (LCM) of 92172 and 92187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92172 and 92187. First we will calculate the prime factors of 92172 and 92187.

Prime Factorization of 92172

Prime Factorization of 92187

Now multiplying the highest exponent prime factors to calculate the LCM of 92172 and 92187.

LCM(92172,92187) = 2² × 3² × 7681¹ × 10243¹
LCM(92172,92187) = 2832353388