What is the Least Common Multiple of 92189 and 92199?

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 92189 and 92199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92189 and 92199, than apply into the LCM equation.

GCF(92189,92199) = 1
LCM(92189,92199) = ( 92189 × 92199) / 1
LCM(92189,92199) = 8499733611 / 1
LCM(92189,92199) = 8499733611

Least Common Multiple (LCM) of 92189 and 92199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92189 and 92199. First we will calculate the prime factors of 92189 and 92199.

Prime Factorization of 92189

Prime Factorization of 92199

Now multiplying the highest exponent prime factors to calculate the LCM of 92189 and 92199.

LCM(92189,92199) = 92189¹ × 3¹ × 73¹ × 421¹
LCM(92189,92199) = 8499733611