What is the Least Common Multiple of 36288 and 36302?

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 36302 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 36302, than apply into the LCM equation.

GCF(36288,36302) = 14
LCM(36288,36302) = ( 36288 × 36302) / 14
LCM(36288,36302) = 1317326976 / 14
LCM(36288,36302) = 94094784

Least Common Multiple (LCM) of 36288 and 36302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36288 and 36302. First we will calculate the prime factors of 36288 and 36302.

Prime Factorization of 36288

Prime Factorization of 36302

Now multiplying the highest exponent prime factors to calculate the LCM of 36288 and 36302.

LCM(36288,36302) = 2⁶ × 3⁴ × 7¹ × 2593¹
LCM(36288,36302) = 94094784