What is the Least Common Multiple of 80673 and 80683?

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 80673 and 80683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80673 and 80683, than apply into the LCM equation.

GCF(80673,80683) = 1
LCM(80673,80683) = ( 80673 × 80683) / 1
LCM(80673,80683) = 6508939659 / 1
LCM(80673,80683) = 6508939659

Least Common Multiple (LCM) of 80673 and 80683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80673 and 80683. First we will calculate the prime factors of 80673 and 80683.

Prime Factorization of 80673

Prime Factorization of 80683

Now multiplying the highest exponent prime factors to calculate the LCM of 80673 and 80683.

LCM(80673,80683) = 3¹ × 26891¹ × 80683¹
LCM(80673,80683) = 6508939659