What is the Least Common Multiple of 36845 and 36864?

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 36845 and 36864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36845 and 36864, than apply into the LCM equation.

GCF(36845,36864) = 1
LCM(36845,36864) = ( 36845 × 36864) / 1
LCM(36845,36864) = 1358254080 / 1
LCM(36845,36864) = 1358254080

Least Common Multiple (LCM) of 36845 and 36864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36845 and 36864. First we will calculate the prime factors of 36845 and 36864.

Prime Factorization of 36845

Prime Factorization of 36864

Now multiplying the highest exponent prime factors to calculate the LCM of 36845 and 36864.

LCM(36845,36864) = 5¹ × 7369¹ × 2¹² × 3²
LCM(36845,36864) = 1358254080