What is the Least Common Multiple of 36369 and 36389?

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 36369 and 36389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36369 and 36389, than apply into the LCM equation.

GCF(36369,36389) = 1
LCM(36369,36389) = ( 36369 × 36389) / 1
LCM(36369,36389) = 1323431541 / 1
LCM(36369,36389) = 1323431541

Least Common Multiple (LCM) of 36369 and 36389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36369 and 36389. First we will calculate the prime factors of 36369 and 36389.

Prime Factorization of 36369

Prime Factorization of 36389

Now multiplying the highest exponent prime factors to calculate the LCM of 36369 and 36389.

LCM(36369,36389) = 3⁴ × 449¹ × 36389¹
LCM(36369,36389) = 1323431541