What is the Least Common Multiple of 67851 and 67857?

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 67851 and 67857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67851 and 67857, than apply into the LCM equation.

GCF(67851,67857) = 3
LCM(67851,67857) = ( 67851 × 67857) / 3
LCM(67851,67857) = 4604165307 / 3
LCM(67851,67857) = 1534721769

Least Common Multiple (LCM) of 67851 and 67857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67851 and 67857. First we will calculate the prime factors of 67851 and 67857.

Prime Factorization of 67851

Prime Factorization of 67857

Now multiplying the highest exponent prime factors to calculate the LCM of 67851 and 67857.

LCM(67851,67857) = 3³ × 7¹ × 359¹ × 22619¹
LCM(67851,67857) = 1534721769