What is the Least Common Multiple of 85785 and 85795?

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 85785 and 85795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85785 and 85795, than apply into the LCM equation.

GCF(85785,85795) = 5
LCM(85785,85795) = ( 85785 × 85795) / 5
LCM(85785,85795) = 7359924075 / 5
LCM(85785,85795) = 1471984815

Least Common Multiple (LCM) of 85785 and 85795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85785 and 85795. First we will calculate the prime factors of 85785 and 85795.

Prime Factorization of 85785

Prime Factorization of 85795

Now multiplying the highest exponent prime factors to calculate the LCM of 85785 and 85795.

LCM(85785,85795) = 3¹ × 5¹ × 7¹ × 19¹ × 43¹ × 17159¹
LCM(85785,85795) = 1471984815