What is the Least Common Multiple of 85450 and 85466?

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 85450 and 85466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85450 and 85466, than apply into the LCM equation.

GCF(85450,85466) = 2
LCM(85450,85466) = ( 85450 × 85466) / 2
LCM(85450,85466) = 7303069700 / 2
LCM(85450,85466) = 3651534850

Least Common Multiple (LCM) of 85450 and 85466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85450 and 85466. First we will calculate the prime factors of 85450 and 85466.

Prime Factorization of 85450

Prime Factorization of 85466

Now multiplying the highest exponent prime factors to calculate the LCM of 85450 and 85466.

LCM(85450,85466) = 2¹ × 5² × 1709¹ × 151¹ × 283¹
LCM(85450,85466) = 3651534850