What is the Least Common Multiple of 80109 and 80118?

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 80118 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 80118, than apply into the LCM equation.

GCF(80109,80118) = 9
LCM(80109,80118) = ( 80109 × 80118) / 9
LCM(80109,80118) = 6418172862 / 9
LCM(80109,80118) = 713130318

Least Common Multiple (LCM) of 80109 and 80118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80109 and 80118. First we will calculate the prime factors of 80109 and 80118.

Prime Factorization of 80109

Prime Factorization of 80118

Now multiplying the highest exponent prime factors to calculate the LCM of 80109 and 80118.

LCM(80109,80118) = 3⁴ × 23¹ × 43¹ × 2¹ × 4451¹
LCM(80109,80118) = 713130318