What is the Least Common Multiple of 36288 and 36296?

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 36288 and 36296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36288 and 36296, than apply into the LCM equation.

GCF(36288,36296) = 8
LCM(36288,36296) = ( 36288 × 36296) / 8
LCM(36288,36296) = 1317109248 / 8
LCM(36288,36296) = 164638656

Least Common Multiple (LCM) of 36288 and 36296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36288 and 36296. First we will calculate the prime factors of 36288 and 36296.

Prime Factorization of 36288

Prime Factorization of 36296

Now multiplying the highest exponent prime factors to calculate the LCM of 36288 and 36296.

LCM(36288,36296) = 2⁶ × 3⁴ × 7¹ × 13¹ × 349¹
LCM(36288,36296) = 164638656