What is the Least Common Multiple of 92173 and 92190?

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 92173 and 92190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92173 and 92190, than apply into the LCM equation.

GCF(92173,92190) = 1
LCM(92173,92190) = ( 92173 × 92190) / 1
LCM(92173,92190) = 8497428870 / 1
LCM(92173,92190) = 8497428870

Least Common Multiple (LCM) of 92173 and 92190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92173 and 92190. First we will calculate the prime factors of 92173 and 92190.

Prime Factorization of 92173

Prime Factorization of 92190

Now multiplying the highest exponent prime factors to calculate the LCM of 92173 and 92190.

LCM(92173,92190) = 92173¹ × 2¹ × 3¹ × 5¹ × 7¹ × 439¹
LCM(92173,92190) = 8497428870