What is the Least Common Multiple of 85845 and 85857?

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 85845 and 85857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85845 and 85857, than apply into the LCM equation.

GCF(85845,85857) = 3
LCM(85845,85857) = ( 85845 × 85857) / 3
LCM(85845,85857) = 7370394165 / 3
LCM(85845,85857) = 2456798055

Least Common Multiple (LCM) of 85845 and 85857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85845 and 85857. First we will calculate the prime factors of 85845 and 85857.

Prime Factorization of 85845

Prime Factorization of 85857

Now multiplying the highest exponent prime factors to calculate the LCM of 85845 and 85857.

LCM(85845,85857) = 3¹ × 5¹ × 59¹ × 97¹ × 28619¹
LCM(85845,85857) = 2456798055