What is the Least Common Multiple of 85065 and 85083?

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 85065 and 85083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85065 and 85083, than apply into the LCM equation.

GCF(85065,85083) = 3
LCM(85065,85083) = ( 85065 × 85083) / 3
LCM(85065,85083) = 7237585395 / 3
LCM(85065,85083) = 2412528465

Least Common Multiple (LCM) of 85065 and 85083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85065 and 85083. First we will calculate the prime factors of 85065 and 85083.

Prime Factorization of 85065

Prime Factorization of 85083

Now multiplying the highest exponent prime factors to calculate the LCM of 85065 and 85083.

LCM(85065,85083) = 3¹ × 5¹ × 53¹ × 107¹ × 79¹ × 359¹
LCM(85065,85083) = 2412528465