What is the Least Common Multiple of 74857 and 74867?

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 74857 and 74867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74857 and 74867, than apply into the LCM equation.

GCF(74857,74867) = 1
LCM(74857,74867) = ( 74857 × 74867) / 1
LCM(74857,74867) = 5604319019 / 1
LCM(74857,74867) = 5604319019

Least Common Multiple (LCM) of 74857 and 74867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74857 and 74867. First we will calculate the prime factors of 74857 and 74867.

Prime Factorization of 74857

Prime Factorization of 74867

Now multiplying the highest exponent prime factors to calculate the LCM of 74857 and 74867.

LCM(74857,74867) = 74857¹ × 13² × 443¹
LCM(74857,74867) = 5604319019