What is the Least Common Multiple of 36285 and 36298?

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 36285 and 36298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36285 and 36298, than apply into the LCM equation.

GCF(36285,36298) = 1
LCM(36285,36298) = ( 36285 × 36298) / 1
LCM(36285,36298) = 1317072930 / 1
LCM(36285,36298) = 1317072930

Least Common Multiple (LCM) of 36285 and 36298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36285 and 36298. First we will calculate the prime factors of 36285 and 36298.

Prime Factorization of 36285

Prime Factorization of 36298

Now multiplying the highest exponent prime factors to calculate the LCM of 36285 and 36298.

LCM(36285,36298) = 3¹ × 5¹ × 41¹ × 59¹ × 2¹ × 18149¹
LCM(36285,36298) = 1317072930