What is the Least Common Multiple of 85884 and 85898?

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 85884 and 85898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85884 and 85898, than apply into the LCM equation.

GCF(85884,85898) = 2
LCM(85884,85898) = ( 85884 × 85898) / 2
LCM(85884,85898) = 7377263832 / 2
LCM(85884,85898) = 3688631916

Least Common Multiple (LCM) of 85884 and 85898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85884 and 85898. First we will calculate the prime factors of 85884 and 85898.

Prime Factorization of 85884

Prime Factorization of 85898

Now multiplying the highest exponent prime factors to calculate the LCM of 85884 and 85898.

LCM(85884,85898) = 2² × 3¹ × 17¹ × 421¹ × 29¹ × 1481¹
LCM(85884,85898) = 3688631916