What is the Least Common Multiple of 36357 and 36365?

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 36357 and 36365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36357 and 36365, than apply into the LCM equation.

GCF(36357,36365) = 1
LCM(36357,36365) = ( 36357 × 36365) / 1
LCM(36357,36365) = 1322122305 / 1
LCM(36357,36365) = 1322122305

Least Common Multiple (LCM) of 36357 and 36365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36357 and 36365. First we will calculate the prime factors of 36357 and 36365.

Prime Factorization of 36357

Prime Factorization of 36365

Now multiplying the highest exponent prime factors to calculate the LCM of 36357 and 36365.

LCM(36357,36365) = 3¹ × 12119¹ × 5¹ × 7¹ × 1039¹
LCM(36357,36365) = 1322122305