What is the Least Common Multiple of 85854 and 85860?

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 85854 and 85860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85854 and 85860, than apply into the LCM equation.

GCF(85854,85860) = 6
LCM(85854,85860) = ( 85854 × 85860) / 6
LCM(85854,85860) = 7371424440 / 6
LCM(85854,85860) = 1228570740

Least Common Multiple (LCM) of 85854 and 85860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85854 and 85860. First we will calculate the prime factors of 85854 and 85860.

Prime Factorization of 85854

Prime Factorization of 85860

Now multiplying the highest exponent prime factors to calculate the LCM of 85854 and 85860.

LCM(85854,85860) = 2² × 3⁴ × 41¹ × 349¹ × 5¹ × 53¹
LCM(85854,85860) = 1228570740