What is the Least Common Multiple of 91450 and 91466?

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 91450 and 91466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91450 and 91466, than apply into the LCM equation.

GCF(91450,91466) = 2
LCM(91450,91466) = ( 91450 × 91466) / 2
LCM(91450,91466) = 8364565700 / 2
LCM(91450,91466) = 4182282850

Least Common Multiple (LCM) of 91450 and 91466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91450 and 91466. First we will calculate the prime factors of 91450 and 91466.

Prime Factorization of 91450

Prime Factorization of 91466

Now multiplying the highest exponent prime factors to calculate the LCM of 91450 and 91466.

LCM(91450,91466) = 2¹ × 5² × 31¹ × 59¹ × 19¹ × 29¹ × 83¹
LCM(91450,91466) = 4182282850