What is the Least Common Multiple of 36209 and 36226?

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 36209 and 36226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36209 and 36226, than apply into the LCM equation.

GCF(36209,36226) = 1
LCM(36209,36226) = ( 36209 × 36226) / 1
LCM(36209,36226) = 1311707234 / 1
LCM(36209,36226) = 1311707234

Least Common Multiple (LCM) of 36209 and 36226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36209 and 36226. First we will calculate the prime factors of 36209 and 36226.

Prime Factorization of 36209

Prime Factorization of 36226

Now multiplying the highest exponent prime factors to calculate the LCM of 36209 and 36226.

LCM(36209,36226) = 36209¹ × 2¹ × 59¹ × 307¹
LCM(36209,36226) = 1311707234