What is the Least Common Multiple of 92019 and 92031?

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 92019 and 92031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92019 and 92031, than apply into the LCM equation.

GCF(92019,92031) = 3
LCM(92019,92031) = ( 92019 × 92031) / 3
LCM(92019,92031) = 8468600589 / 3
LCM(92019,92031) = 2822866863

Least Common Multiple (LCM) of 92019 and 92031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92019 and 92031. First we will calculate the prime factors of 92019 and 92031.

Prime Factorization of 92019

Prime Factorization of 92031

Now multiplying the highest exponent prime factors to calculate the LCM of 92019 and 92031.

LCM(92019,92031) = 3¹ × 37¹ × 829¹ × 30677¹
LCM(92019,92031) = 2822866863