Least Common Multiple of 5302 and 5307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5302 and 5307 the smallest integer that is 28137714 that is divisible by both numbers.

Least Common Multiple (LCM) of 5302 and 5307 is 28137714.

LCM(5302,5307) = 28137714

LCM of 5302 and 5307

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

LCM of:
and

Least Common Multiple of 5302 and 5307

LCM of 5302 and 5307 is 28137714

Least common multiple can be found by multiplying the highest exponent prime factors of 5302 and 5307. First we will calculate the prime factors of 5302 and 5307.

Prime Factorization of 5302


2 5302
11 2651
241 241
1

Prime factors of 5302 are 2, 11,241. Prime factorization of 5302 in exponential form is:

5302 = 21×111×2411

Prime Factorization of 5307


3 5307
29 1769
61 61
1

Prime factors of 5307 are 3, 29,61. Prime factorization of 5307 in exponential form is:

5307 = 31×291×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5302 and 5307.

LCM(5302,5307) = 21×31×111×291×611×2411
LCM(5302,5307) = 28137714

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1, 2, 11, 22, 241, 482, 2651, 5302

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1, 3, 29, 61, 87, 183, 1769, 5307

Least Common Multiple of 5302 and 5307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5302 and 5307, than apply into the LCM equation.

GCF(5302,5307) = 1
LCM(5302,5307) = ( 5302 × 5307) / 1
LCM(5302,5307) = 28137714 / 1
LCM(5302,5307) = 28137714

Properties of LCM 5302 and 5307

(i) The LCM of 5307 and 5302 is associative

LCM of 5302 and 5307 = LCM of 5307 and 5302

Related Least Common Multiples of 5302

Related Least Common Multiples of 5307

Frequently Asked Questions on LCM of 5302 and 5307

1. What is the LCM of 5302 and 5307?

Answer: LCM of 5302 and 5307 is 28137714.

2. What are the Factors of 5302?

Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.

3. What are the Factors of 5307?

Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.

4. How to Find the LCM of 5302 and 5307?

Answer:

Least Common Multiple of 5302 and 5307 = 28137714

Step 1: Find the prime factorization of 5302

5302 = 2 x 11 x 241

Step 2: Find the prime factorization of 5307

5307 = 3 x 29 x 61

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

LCM = 28137714 = 2 x 3 x 11 x 29 x 61 x 241

Step 4: Therefore, the least common multiple of 5302 and 5307 is 28137714.