Least Common Multiple of 5341 and 5343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5341 and 5343 the smallest integer that is 28536963 that is divisible by both numbers.

Least Common Multiple (LCM) of 5341 and 5343 is 28536963.

LCM(5341,5343) = 28536963

LCM of 5341 and 5343

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

LCM of:
and

Least Common Multiple of 5341 and 5343

LCM of 5341 and 5343 is 28536963

Least common multiple can be found by multiplying the highest exponent prime factors of 5341 and 5343. First we will calculate the prime factors of 5341 and 5343.

Prime Factorization of 5341


7 5341
7 763
109 109
1

Prime factors of 5341 are 7,109. Prime factorization of 5341 in exponential form is:

5341 = 72×1091

Prime Factorization of 5343


3 5343
13 1781
137 137
1

Prime factors of 5343 are 3, 13,137. Prime factorization of 5343 in exponential form is:

5343 = 31×131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5341 and 5343.

LCM(5341,5343) = 31×72×131×1091×1371
LCM(5341,5343) = 28536963

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1, 7, 49, 109, 763, 5341

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1, 3, 13, 39, 137, 411, 1781, 5343

Least Common Multiple of 5341 and 5343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5341 and 5343, than apply into the LCM equation.

GCF(5341,5343) = 1
LCM(5341,5343) = ( 5341 × 5343) / 1
LCM(5341,5343) = 28536963 / 1
LCM(5341,5343) = 28536963

Properties of LCM 5341 and 5343

(i) The LCM of 5343 and 5341 is associative

LCM of 5341 and 5343 = LCM of 5343 and 5341

Related Least Common Multiples of 5341

Related Least Common Multiples of 5343

Frequently Asked Questions on LCM of 5341 and 5343

1. What is the LCM of 5341 and 5343?

Answer: LCM of 5341 and 5343 is 28536963.

2. What are the Factors of 5341?

Answer: Factors of 5341 are 1, 7, 49, 109, 763, 5341. There are 6 integers that are factors of 5341. The greatest factor of 5341 is 5341.

3. What are the Factors of 5343?

Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.

4. How to Find the LCM of 5341 and 5343?

Answer:

Least Common Multiple of 5341 and 5343 = 28536963

Step 1: Find the prime factorization of 5341

5341 = 7 x 7 x 109

Step 2: Find the prime factorization of 5343

5343 = 3 x 13 x 137

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

LCM = 28536963 = 3 x 7 x 7 x 13 x 109 x 137

Step 4: Therefore, the least common multiple of 5341 and 5343 is 28536963.