What is the Least Common Multiple of 80893 and 80904?

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 80893 and 80904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80893 and 80904, than apply into the LCM equation.

GCF(80893,80904) = 1
LCM(80893,80904) = ( 80893 × 80904) / 1
LCM(80893,80904) = 6544567272 / 1
LCM(80893,80904) = 6544567272

Least Common Multiple (LCM) of 80893 and 80904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80893 and 80904. First we will calculate the prime factors of 80893 and 80904.

Prime Factorization of 80893

Prime Factorization of 80904

Now multiplying the highest exponent prime factors to calculate the LCM of 80893 and 80904.

LCM(80893,80904) = 41¹ × 1973¹ × 2³ × 3¹ × 3371¹
LCM(80893,80904) = 6544567272