What is the Least Common Multiple of 80944 and 80949?

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 80944 and 80949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80944 and 80949, than apply into the LCM equation.

GCF(80944,80949) = 1
LCM(80944,80949) = ( 80944 × 80949) / 1
LCM(80944,80949) = 6552335856 / 1
LCM(80944,80949) = 6552335856

Least Common Multiple (LCM) of 80944 and 80949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80944 and 80949. First we will calculate the prime factors of 80944 and 80949.

Prime Factorization of 80944

Prime Factorization of 80949

Now multiplying the highest exponent prime factors to calculate the LCM of 80944 and 80949.

LCM(80944,80949) = 2⁴ × 5059¹ × 3¹ × 11² × 223¹
LCM(80944,80949) = 6552335856