What is the Least Common Multiple of 80730 and 80742?

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 80730 and 80742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80730 and 80742, than apply into the LCM equation.

GCF(80730,80742) = 6
LCM(80730,80742) = ( 80730 × 80742) / 6
LCM(80730,80742) = 6518301660 / 6
LCM(80730,80742) = 1086383610

Least Common Multiple (LCM) of 80730 and 80742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80730 and 80742. First we will calculate the prime factors of 80730 and 80742.

Prime Factorization of 80730

Prime Factorization of 80742

Now multiplying the highest exponent prime factors to calculate the LCM of 80730 and 80742.

LCM(80730,80742) = 2¹ × 3³ × 5¹ × 13¹ × 23¹ × 13457¹
LCM(80730,80742) = 1086383610