What is the Least Common Multiple of 36261 and 36269?

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 36261 and 36269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36261 and 36269, than apply into the LCM equation.

GCF(36261,36269) = 1
LCM(36261,36269) = ( 36261 × 36269) / 1
LCM(36261,36269) = 1315150209 / 1
LCM(36261,36269) = 1315150209

Least Common Multiple (LCM) of 36261 and 36269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36261 and 36269. First we will calculate the prime factors of 36261 and 36269.

Prime Factorization of 36261

Prime Factorization of 36269

Now multiplying the highest exponent prime factors to calculate the LCM of 36261 and 36269.

LCM(36261,36269) = 3³ × 17¹ × 79¹ × 36269¹
LCM(36261,36269) = 1315150209