What is the Least Common Multiple of 36390 and 36408?

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 36408 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 36408, than apply into the LCM equation.

GCF(36390,36408) = 6
LCM(36390,36408) = ( 36390 × 36408) / 6
LCM(36390,36408) = 1324887120 / 6
LCM(36390,36408) = 220814520

Least Common Multiple (LCM) of 36390 and 36408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36390 and 36408. First we will calculate the prime factors of 36390 and 36408.

Prime Factorization of 36390

Prime Factorization of 36408

Now multiplying the highest exponent prime factors to calculate the LCM of 36390 and 36408.

LCM(36390,36408) = 2³ × 3¹ × 5¹ × 1213¹ × 37¹ × 41¹
LCM(36390,36408) = 220814520