What is the Least Common Multiple of 80730 and 80736?

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 80736 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 80736, than apply into the LCM equation.

GCF(80730,80736) = 6
LCM(80730,80736) = ( 80730 × 80736) / 6
LCM(80730,80736) = 6517817280 / 6
LCM(80730,80736) = 1086302880

Least Common Multiple (LCM) of 80730 and 80736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80730 and 80736. First we will calculate the prime factors of 80730 and 80736.

Prime Factorization of 80730

Prime Factorization of 80736

Now multiplying the highest exponent prime factors to calculate the LCM of 80730 and 80736.

LCM(80730,80736) = 2⁵ × 3³ × 5¹ × 13¹ × 23¹ × 29²
LCM(80730,80736) = 1086302880