Least Common Multiple of 5310 and 5314

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 5314 the smallest integer that is 14108670 that is divisible by both numbers.

Least Common Multiple (LCM) of 5310 and 5314 is 14108670.

LCM(5310,5314) = 14108670

LCM of 5310 and 5314

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

LCM of:
and

Least Common Multiple of 5310 and 5314

LCM of 5310 and 5314 is 14108670

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5314. First we will calculate the prime factors of 5310 and 5314.

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 5314


2 5314
2657 2657
1

Prime factors of 5314 are 2,2657. Prime factorization of 5314 in exponential form is:

5314 = 21×26571

Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5314.

LCM(5310,5314) = 21×32×51×591×26571
LCM(5310,5314) = 14108670

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 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1, 2, 2657, 5314

Least Common Multiple of 5310 and 5314 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 5314, than apply into the LCM equation.

GCF(5310,5314) = 2
LCM(5310,5314) = ( 5310 × 5314) / 2
LCM(5310,5314) = 28217340 / 2
LCM(5310,5314) = 14108670

Properties of LCM 5310 and 5314

(i) The LCM of 5314 and 5310 is associative

LCM of 5310 and 5314 = LCM of 5314 and 5310

Related Least Common Multiples of 5310

Related Least Common Multiples of 5314

Frequently Asked Questions on LCM of 5310 and 5314

1. What is the LCM of 5310 and 5314?

Answer: LCM of 5310 and 5314 is 14108670.

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 5314?

Answer: Factors of 5314 are 1, 2, 2657, 5314. There are 4 integers that are factors of 5314. The greatest factor of 5314 is 5314.

4. How to Find the LCM of 5310 and 5314?

Answer:

Least Common Multiple of 5310 and 5314 = 14108670

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 5314

5314 = 2 x 2657

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

LCM = 14108670 = 2 x 3 x 3 x 5 x 59 x 2657

Step 4: Therefore, the least common multiple of 5310 and 5314 is 14108670.