What is the Least Common Multiple of 92019 and 92037?

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 92037 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 92037, than apply into the LCM equation.

GCF(92019,92037) = 3
LCM(92019,92037) = ( 92019 × 92037) / 3
LCM(92019,92037) = 8469152703 / 3
LCM(92019,92037) = 2823050901

Least Common Multiple (LCM) of 92019 and 92037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92019 and 92037. First we will calculate the prime factors of 92019 and 92037.

Prime Factorization of 92019

Prime Factorization of 92037

Now multiplying the highest exponent prime factors to calculate the LCM of 92019 and 92037.

LCM(92019,92037) = 3¹ × 37¹ × 829¹ × 11¹ × 2789¹
LCM(92019,92037) = 2823050901