What is the Least Common Multiple of 80605 and 80623?

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 80605 and 80623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80605 and 80623, than apply into the LCM equation.

GCF(80605,80623) = 1
LCM(80605,80623) = ( 80605 × 80623) / 1
LCM(80605,80623) = 6498616915 / 1
LCM(80605,80623) = 6498616915

Least Common Multiple (LCM) of 80605 and 80623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80605 and 80623. First we will calculate the prime factors of 80605 and 80623.

Prime Factorization of 80605

Prime Factorization of 80623

Now multiplying the highest exponent prime factors to calculate the LCM of 80605 and 80623.

LCM(80605,80623) = 5¹ × 7³ × 47¹ × 37¹ × 2179¹
LCM(80605,80623) = 6498616915