Least Common Multiple of 5341 and 5345

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 5345 the smallest integer that is 28547645 that is divisible by both numbers.

Least Common Multiple (LCM) of 5341 and 5345 is 28547645.

LCM(5341,5345) = 28547645

LCM of 5341 and 5345

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

LCM of:
and

Least Common Multiple of 5341 and 5345

LCM of 5341 and 5345 is 28547645

Least common multiple can be found by multiplying the highest exponent prime factors of 5341 and 5345. First we will calculate the prime factors of 5341 and 5345.

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 5345


5 5345
1069 1069
1

Prime factors of 5345 are 5,1069. Prime factorization of 5345 in exponential form is:

5345 = 51×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 5341 and 5345.

LCM(5341,5345) = 51×72×1091×10691
LCM(5341,5345) = 28547645

Factors of 5341

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

1, 7, 49, 109, 763, 5341

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1, 5, 1069, 5345

Least Common Multiple of 5341 and 5345 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 5345, than apply into the LCM equation.

GCF(5341,5345) = 1
LCM(5341,5345) = ( 5341 × 5345) / 1
LCM(5341,5345) = 28547645 / 1
LCM(5341,5345) = 28547645

Properties of LCM 5341 and 5345

(i) The LCM of 5345 and 5341 is associative

LCM of 5341 and 5345 = LCM of 5345 and 5341

Related Least Common Multiples of 5341

Related Least Common Multiples of 5345

Frequently Asked Questions on LCM of 5341 and 5345

1. What is the LCM of 5341 and 5345?

Answer: LCM of 5341 and 5345 is 28547645.

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 5345?

Answer: Factors of 5345 are 1, 5, 1069, 5345. There are 4 integers that are factors of 5345. The greatest factor of 5345 is 5345.

4. How to Find the LCM of 5341 and 5345?

Answer:

Least Common Multiple of 5341 and 5345 = 28547645

Step 1: Find the prime factorization of 5341

5341 = 7 x 7 x 109

Step 2: Find the prime factorization of 5345

5345 = 5 x 1069

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

LCM = 28547645 = 5 x 7 x 7 x 109 x 1069

Step 4: Therefore, the least common multiple of 5341 and 5345 is 28547645.