Least Common Multiple of 36304 and 36307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36304 and 36307 the smallest integer that is 1318089328 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36307 is 1318089328.

LCM(36304,36307) = 1318089328

LCM of 36304 and 36307

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 36304 and 36307

LCM of 36304 and 36307 is 1318089328

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36307. First we will calculate the prime factors of 36304 and 36307.

Prime Factorization of 36304


2 36304
2 18152
2 9076
2 4538
2269 2269
1

Prime factors of 36304 are 2,2269. Prime factorization of 36304 in exponential form is:

36304 = 24×22691

Prime Factorization of 36307


36307 36307
1

Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:

36307 = 363071

Now multiplying the highest exponent prime factors to calculate the LCM of 36304 and 36307.

LCM(36304,36307) = 24×22691×363071
LCM(36304,36307) = 1318089328

Factors of 36304

List of positive integer factors of 36304 that divides 36304 without a remainder.

1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304

Factors of 36307

List of positive integer factors of 36307 that divides 36307 without a remainder.

1, 36307

Least Common Multiple of 36304 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 36304 and 36307, than apply into the LCM equation.

GCF(36304,36307) = 1
LCM(36304,36307) = ( 36304 × 36307) / 1
LCM(36304,36307) = 1318089328 / 1
LCM(36304,36307) = 1318089328

Properties of LCM 36304 and 36307

(i) The LCM of 36307 and 36304 is associative

LCM of 36304 and 36307 = LCM of 36307 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36307

Frequently Asked Questions on LCM of 36304 and 36307

1. What is the LCM of 36304 and 36307?

Answer: LCM of 36304 and 36307 is 1318089328.

2. What are the Factors of 36304?

Answer: Factors of 36304 are 1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304. There are 10 integers that are factors of 36304. The greatest factor of 36304 is 36304.

3. What are the Factors of 36307?

Answer: Factors of 36307 are 1, 36307. There are 2 integers that are factors of 36307. The greatest factor of 36307 is 36307.

4. How to Find the LCM of 36304 and 36307?

Answer:

Least Common Multiple of 36304 and 36307 = 1318089328

Step 1: Find the prime factorization of 36304

36304 = 2 x 2 x 2 x 2 x 2269

Step 2: Find the prime factorization of 36307

36307 = 36307

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1318089328 = 2 x 2 x 2 x 2 x 2269 x 36307

Step 4: Therefore, the least common multiple of 36304 and 36307 is 1318089328.