What is the Least Common Multiple of 80798 and 80813?

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 80798 and 80813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80798 and 80813, than apply into the LCM equation.

GCF(80798,80813) = 1
LCM(80798,80813) = ( 80798 × 80813) / 1
LCM(80798,80813) = 6529528774 / 1
LCM(80798,80813) = 6529528774

Least Common Multiple (LCM) of 80798 and 80813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80798 and 80813. First we will calculate the prime factors of 80798 and 80813.

Prime Factorization of 80798

Prime Factorization of 80813

Now multiplying the highest exponent prime factors to calculate the LCM of 80798 and 80813.

LCM(80798,80813) = 2¹ × 71¹ × 569¹ × 211¹ × 383¹
LCM(80798,80813) = 6529528774