What is the Least Common Multiple of 80105 and 80111?

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 80105 and 80111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80105 and 80111, than apply into the LCM equation.

GCF(80105,80111) = 1
LCM(80105,80111) = ( 80105 × 80111) / 1
LCM(80105,80111) = 6417291655 / 1
LCM(80105,80111) = 6417291655

Least Common Multiple (LCM) of 80105 and 80111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80105 and 80111. First we will calculate the prime factors of 80105 and 80111.

Prime Factorization of 80105

Prime Factorization of 80111

Now multiplying the highest exponent prime factors to calculate the LCM of 80105 and 80111.

LCM(80105,80111) = 5¹ × 37¹ × 433¹ × 80111¹
LCM(80105,80111) = 6417291655