What is the Least Common Multiple of 80864 and 80874?

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 80864 and 80874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80864 and 80874, than apply into the LCM equation.

GCF(80864,80874) = 2
LCM(80864,80874) = ( 80864 × 80874) / 2
LCM(80864,80874) = 6539795136 / 2
LCM(80864,80874) = 3269897568

Least Common Multiple (LCM) of 80864 and 80874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80864 and 80874. First we will calculate the prime factors of 80864 and 80874.

Prime Factorization of 80864

Prime Factorization of 80874

Now multiplying the highest exponent prime factors to calculate the LCM of 80864 and 80874.

LCM(80864,80874) = 2⁵ × 7¹ × 19² × 3² × 4493¹
LCM(80864,80874) = 3269897568