What is the Least Common Multiple of 85059 and 85065?

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 85059 and 85065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85059 and 85065, than apply into the LCM equation.

GCF(85059,85065) = 3
LCM(85059,85065) = ( 85059 × 85065) / 3
LCM(85059,85065) = 7235543835 / 3
LCM(85059,85065) = 2411847945

Least Common Multiple (LCM) of 85059 and 85065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85059 and 85065. First we will calculate the prime factors of 85059 and 85065.

Prime Factorization of 85059

Prime Factorization of 85065

Now multiplying the highest exponent prime factors to calculate the LCM of 85059 and 85065.

LCM(85059,85065) = 3² × 13¹ × 727¹ × 5¹ × 53¹ × 107¹
LCM(85059,85065) = 2411847945