What is the Least Common Multiple of 92178 and 92189?

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 92178 and 92189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92178 and 92189, than apply into the LCM equation.

GCF(92178,92189) = 1
LCM(92178,92189) = ( 92178 × 92189) / 1
LCM(92178,92189) = 8497797642 / 1
LCM(92178,92189) = 8497797642

Least Common Multiple (LCM) of 92178 and 92189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92178 and 92189. First we will calculate the prime factors of 92178 and 92189.

Prime Factorization of 92178

Prime Factorization of 92189

Now multiplying the highest exponent prime factors to calculate the LCM of 92178 and 92189.

LCM(92178,92189) = 2¹ × 3⁴ × 569¹ × 92189¹
LCM(92178,92189) = 8497797642