What is the Least Common Multiple of 98856 and 98874?

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 98856 and 98874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98856 and 98874, than apply into the LCM equation.

GCF(98856,98874) = 18
LCM(98856,98874) = ( 98856 × 98874) / 18
LCM(98856,98874) = 9774288144 / 18
LCM(98856,98874) = 543016008

Least Common Multiple (LCM) of 98856 and 98874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98856 and 98874. First we will calculate the prime factors of 98856 and 98874.

Prime Factorization of 98856

Prime Factorization of 98874

Now multiplying the highest exponent prime factors to calculate the LCM of 98856 and 98874.

LCM(98856,98874) = 2³ × 3³ × 1373¹ × 1831¹
LCM(98856,98874) = 543016008