What is the Least Common Multiple of 80623 and 80638?

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 80623 and 80638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80623 and 80638, than apply into the LCM equation.

GCF(80623,80638) = 1
LCM(80623,80638) = ( 80623 × 80638) / 1
LCM(80623,80638) = 6501277474 / 1
LCM(80623,80638) = 6501277474

Least Common Multiple (LCM) of 80623 and 80638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80623 and 80638. First we will calculate the prime factors of 80623 and 80638.

Prime Factorization of 80623

Prime Factorization of 80638

Now multiplying the highest exponent prime factors to calculate the LCM of 80623 and 80638.

LCM(80623,80638) = 37¹ × 2179¹ × 2¹ × 23¹ × 1753¹
LCM(80623,80638) = 6501277474