Least Common Multiple of 5310 and 5311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5310 and 5311 the smallest integer that is 28201410 that is divisible by both numbers.

Least Common Multiple (LCM) of 5310 and 5311 is 28201410.

LCM(5310,5311) = 28201410

LCM of 5310 and 5311

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

LCM of:
and

Least Common Multiple of 5310 and 5311

LCM of 5310 and 5311 is 28201410

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5311. First we will calculate the prime factors of 5310 and 5311.

Prime Factorization of 5310


2 5310
3 2655
3 885
5 295
59 59
1

Prime factors of 5310 are 2, 3, 5,59. Prime factorization of 5310 in exponential form is:

5310 = 21×32×51×591

Prime Factorization of 5311


47 5311
113 113
1

Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:

5311 = 471×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5311.

LCM(5310,5311) = 21×32×51×471×591×1131
LCM(5310,5311) = 28201410

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1, 47, 113, 5311

Least Common Multiple of 5310 and 5311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5310 and 5311, than apply into the LCM equation.

GCF(5310,5311) = 1
LCM(5310,5311) = ( 5310 × 5311) / 1
LCM(5310,5311) = 28201410 / 1
LCM(5310,5311) = 28201410

Properties of LCM 5310 and 5311

(i) The LCM of 5311 and 5310 is associative

LCM of 5310 and 5311 = LCM of 5311 and 5310

Related Least Common Multiples of 5310

Related Least Common Multiples of 5311

Frequently Asked Questions on LCM of 5310 and 5311

1. What is the LCM of 5310 and 5311?

Answer: LCM of 5310 and 5311 is 28201410.

2. What are the Factors of 5310?

Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.

3. What are the Factors of 5311?

Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.

4. How to Find the LCM of 5310 and 5311?

Answer:

Least Common Multiple of 5310 and 5311 = 28201410

Step 1: Find the prime factorization of 5310

5310 = 2 x 3 x 3 x 5 x 59

Step 2: Find the prime factorization of 5311

5311 = 47 x 113

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

LCM = 28201410 = 2 x 3 x 3 x 5 x 47 x 59 x 113

Step 4: Therefore, the least common multiple of 5310 and 5311 is 28201410.