Least Common Multiple of 5335 and 5340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5335 and 5340 the smallest integer that is 5697780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5335 and 5340 is 5697780.

LCM(5335,5340) = 5697780

LCM of 5335 and 5340

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

LCM of:
and

Least Common Multiple of 5335 and 5340

LCM of 5335 and 5340 is 5697780

Least common multiple can be found by multiplying the highest exponent prime factors of 5335 and 5340. First we will calculate the prime factors of 5335 and 5340.

Prime Factorization of 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5, 11,97. Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5335 and 5340.

LCM(5335,5340) = 22×31×51×111×891×971
LCM(5335,5340) = 5697780

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1, 5, 11, 55, 97, 485, 1067, 5335

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

Least Common Multiple of 5335 and 5340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5335 and 5340, than apply into the LCM equation.

GCF(5335,5340) = 5
LCM(5335,5340) = ( 5335 × 5340) / 5
LCM(5335,5340) = 28488900 / 5
LCM(5335,5340) = 5697780

Properties of LCM 5335 and 5340

(i) The LCM of 5340 and 5335 is associative

LCM of 5335 and 5340 = LCM of 5340 and 5335

Related Least Common Multiples of 5335

Related Least Common Multiples of 5340

Frequently Asked Questions on LCM of 5335 and 5340

1. What is the LCM of 5335 and 5340?

Answer: LCM of 5335 and 5340 is 5697780.

2. What are the Factors of 5335?

Answer: Factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335. There are 8 integers that are factors of 5335. The greatest factor of 5335 is 5335.

3. 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.

4. How to Find the LCM of 5335 and 5340?

Answer:

Least Common Multiple of 5335 and 5340 = 5697780

Step 1: Find the prime factorization of 5335

5335 = 5 x 11 x 97

Step 2: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

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

LCM = 5697780 = 2 x 2 x 3 x 5 x 11 x 89 x 97

Step 4: Therefore, the least common multiple of 5335 and 5340 is 5697780.