What is the Least Common Multiple of 80109 and 80127?

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 80109 and 80127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80109 and 80127, than apply into the LCM equation.

GCF(80109,80127) = 9
LCM(80109,80127) = ( 80109 × 80127) / 9
LCM(80109,80127) = 6418893843 / 9
LCM(80109,80127) = 713210427

Least Common Multiple (LCM) of 80109 and 80127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80109 and 80127. First we will calculate the prime factors of 80109 and 80127.

Prime Factorization of 80109

Prime Factorization of 80127

Now multiplying the highest exponent prime factors to calculate the LCM of 80109 and 80127.

LCM(80109,80127) = 3⁴ × 23¹ × 43¹ × 29¹ × 307¹
LCM(80109,80127) = 713210427