What is the Least Common Multiple of 92189 and 92202?

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 92202 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 92202, than apply into the LCM equation.

GCF(92189,92202) = 1
LCM(92189,92202) = ( 92189 × 92202) / 1
LCM(92189,92202) = 8500010178 / 1
LCM(92189,92202) = 8500010178

Least Common Multiple (LCM) of 92189 and 92202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92189 and 92202. First we will calculate the prime factors of 92189 and 92202.

Prime Factorization of 92189

Prime Factorization of 92202

Now multiplying the highest exponent prime factors to calculate the LCM of 92189 and 92202.

LCM(92189,92202) = 92189¹ × 2¹ × 3¹ × 11² × 127¹
LCM(92189,92202) = 8500010178