What is the Least Common Multiple of 92004 and 92019?

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 92004 and 92019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92004 and 92019, than apply into the LCM equation.

GCF(92004,92019) = 3
LCM(92004,92019) = ( 92004 × 92019) / 3
LCM(92004,92019) = 8466116076 / 3
LCM(92004,92019) = 2822038692

Least Common Multiple (LCM) of 92004 and 92019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92004 and 92019. First we will calculate the prime factors of 92004 and 92019.

Prime Factorization of 92004

Prime Factorization of 92019

Now multiplying the highest exponent prime factors to calculate the LCM of 92004 and 92019.

LCM(92004,92019) = 2² × 3¹ × 11¹ × 17¹ × 41¹ × 37¹ × 829¹
LCM(92004,92019) = 2822038692