What is the Least Common Multiple of 36288 and 36307?

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 36307 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 36307, than apply into the LCM equation.

GCF(36288,36307) = 1
LCM(36288,36307) = ( 36288 × 36307) / 1
LCM(36288,36307) = 1317508416 / 1
LCM(36288,36307) = 1317508416

Least Common Multiple (LCM) of 36288 and 36307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36288 and 36307. First we will calculate the prime factors of 36288 and 36307.

Prime Factorization of 36288

Prime Factorization of 36307

Now multiplying the highest exponent prime factors to calculate the LCM of 36288 and 36307.

LCM(36288,36307) = 2⁶ × 3⁴ × 7¹ × 36307¹
LCM(36288,36307) = 1317508416