What is the Least Common Multiple of 80714 and 80730?

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 80714 and 80730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80714 and 80730, than apply into the LCM equation.

GCF(80714,80730) = 2
LCM(80714,80730) = ( 80714 × 80730) / 2
LCM(80714,80730) = 6516041220 / 2
LCM(80714,80730) = 3258020610

Least Common Multiple (LCM) of 80714 and 80730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80714 and 80730. First we will calculate the prime factors of 80714 and 80730.

Prime Factorization of 80714

Prime Factorization of 80730

Now multiplying the highest exponent prime factors to calculate the LCM of 80714 and 80730.

LCM(80714,80730) = 2¹ × 40357¹ × 3³ × 5¹ × 13¹ × 23¹
LCM(80714,80730) = 3258020610