Least Common Multiple of 5340 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 5340 and 5345 the smallest integer that is 5708460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5340 and 5345 is 5708460.

LCM(5340,5345) = 5708460

LCM of 5340 and 5345

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

LCM of:
and

Least Common Multiple of 5340 and 5345

LCM of 5340 and 5345 is 5708460

Least common multiple can be found by multiplying the highest exponent prime factors of 5340 and 5345. First we will calculate the prime factors of 5340 and 5345.

Prime Factorization of 5340


2 5340
2 2670
3 1335
5 445
89 89
1

Prime factors of 5340 are 2, 3, 5,89. Prime factorization of 5340 in exponential form is:

5340 = 22×31×51×891

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 5340 and 5345.

LCM(5340,5345) = 22×31×51×891×10691
LCM(5340,5345) = 5708460

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340

Factors of 5345

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

1, 5, 1069, 5345

Least Common Multiple of 5340 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 5340 and 5345, than apply into the LCM equation.

GCF(5340,5345) = 5
LCM(5340,5345) = ( 5340 × 5345) / 5
LCM(5340,5345) = 28542300 / 5
LCM(5340,5345) = 5708460

Properties of LCM 5340 and 5345

(i) The LCM of 5345 and 5340 is associative

LCM of 5340 and 5345 = LCM of 5345 and 5340

Related Least Common Multiples of 5340

Related Least Common Multiples of 5345

Frequently Asked Questions on LCM of 5340 and 5345

1. What is the LCM of 5340 and 5345?

Answer: LCM of 5340 and 5345 is 5708460.

2. What are the Factors of 5340?

Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.

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 5340 and 5345?

Answer:

Least Common Multiple of 5340 and 5345 = 5708460

Step 1: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

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 = 5708460 = 2 x 2 x 3 x 5 x 89 x 1069

Step 4: Therefore, the least common multiple of 5340 and 5345 is 5708460.