What is the Least Common Multiple of 80690 and 80695?

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 80690 and 80695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80690 and 80695, than apply into the LCM equation.

GCF(80690,80695) = 5
LCM(80690,80695) = ( 80690 × 80695) / 5
LCM(80690,80695) = 6511279550 / 5
LCM(80690,80695) = 1302255910

Least Common Multiple (LCM) of 80690 and 80695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80690 and 80695. First we will calculate the prime factors of 80690 and 80695.

Prime Factorization of 80690

Prime Factorization of 80695

Now multiplying the highest exponent prime factors to calculate the LCM of 80690 and 80695.

LCM(80690,80695) = 2¹ × 5¹ × 8069¹ × 16139¹
LCM(80690,80695) = 1302255910