Least Common Multiple of 36304 and 36310

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 36310 the smallest integer that is 659099120 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36310 is 659099120.

LCM(36304,36310) = 659099120

LCM of 36304 and 36310

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

LCM of:
and

Least Common Multiple of 36304 and 36310

LCM of 36304 and 36310 is 659099120

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36310. First we will calculate the prime factors of 36304 and 36310.

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 36310


2 36310
5 18155
3631 3631
1

Prime factors of 36310 are 2, 5,3631. Prime factorization of 36310 in exponential form is:

36310 = 21×51×36311

Now multiplying the highest exponent prime factors to calculate the LCM of 36304 and 36310.

LCM(36304,36310) = 24×51×22691×36311
LCM(36304,36310) = 659099120

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 36310

List of positive integer factors of 36310 that divides 36310 without a remainder.

1, 2, 5, 10, 3631, 7262, 18155, 36310

Least Common Multiple of 36304 and 36310 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 36310, than apply into the LCM equation.

GCF(36304,36310) = 2
LCM(36304,36310) = ( 36304 × 36310) / 2
LCM(36304,36310) = 1318198240 / 2
LCM(36304,36310) = 659099120

Properties of LCM 36304 and 36310

(i) The LCM of 36310 and 36304 is associative

LCM of 36304 and 36310 = LCM of 36310 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36310

Frequently Asked Questions on LCM of 36304 and 36310

1. What is the LCM of 36304 and 36310?

Answer: LCM of 36304 and 36310 is 659099120.

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 36310?

Answer: Factors of 36310 are 1, 2, 5, 10, 3631, 7262, 18155, 36310. There are 8 integers that are factors of 36310. The greatest factor of 36310 is 36310.

4. How to Find the LCM of 36304 and 36310?

Answer:

Least Common Multiple of 36304 and 36310 = 659099120

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 36310

36310 = 2 x 5 x 3631

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

LCM = 659099120 = 2 x 2 x 2 x 2 x 5 x 2269 x 3631

Step 4: Therefore, the least common multiple of 36304 and 36310 is 659099120.