What is the Least Common Multiple of 70854 and 70867?

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 70854 and 70867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70854 and 70867, than apply into the LCM equation.

GCF(70854,70867) = 1
LCM(70854,70867) = ( 70854 × 70867) / 1
LCM(70854,70867) = 5021210418 / 1
LCM(70854,70867) = 5021210418

Least Common Multiple (LCM) of 70854 and 70867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70854 and 70867. First we will calculate the prime factors of 70854 and 70867.

Prime Factorization of 70854

Prime Factorization of 70867

Now multiplying the highest exponent prime factors to calculate the LCM of 70854 and 70867.

LCM(70854,70867) = 2¹ × 3¹ × 7² × 241¹ × 70867¹
LCM(70854,70867) = 5021210418