What is the Least Common Multiple of 36390 and 36409?

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 36390 and 36409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36390 and 36409, than apply into the LCM equation.

GCF(36390,36409) = 1
LCM(36390,36409) = ( 36390 × 36409) / 1
LCM(36390,36409) = 1324923510 / 1
LCM(36390,36409) = 1324923510

Least Common Multiple (LCM) of 36390 and 36409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36390 and 36409. First we will calculate the prime factors of 36390 and 36409.

Prime Factorization of 36390

Prime Factorization of 36409

Now multiplying the highest exponent prime factors to calculate the LCM of 36390 and 36409.

LCM(36390,36409) = 2¹ × 3¹ × 5¹ × 1213¹ × 23¹ × 1583¹
LCM(36390,36409) = 1324923510