What is the Least Common Multiple of 80092 and 80109?

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 80092 and 80109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80092 and 80109, than apply into the LCM equation.

GCF(80092,80109) = 1
LCM(80092,80109) = ( 80092 × 80109) / 1
LCM(80092,80109) = 6416090028 / 1
LCM(80092,80109) = 6416090028

Least Common Multiple (LCM) of 80092 and 80109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80092 and 80109. First we will calculate the prime factors of 80092 and 80109.

Prime Factorization of 80092

Prime Factorization of 80109

Now multiplying the highest exponent prime factors to calculate the LCM of 80092 and 80109.

LCM(80092,80109) = 2² × 20023¹ × 3⁴ × 23¹ × 43¹
LCM(80092,80109) = 6416090028