Least Common Multiple of 5314 and 5322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5314 and 5322 the smallest integer that is 14140554 that is divisible by both numbers.

Least Common Multiple (LCM) of 5314 and 5322 is 14140554.

LCM(5314,5322) = 14140554

LCM of 5314 and 5322

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

LCM of:
and

Least Common Multiple of 5314 and 5322

LCM of 5314 and 5322 is 14140554

Least common multiple can be found by multiplying the highest exponent prime factors of 5314 and 5322. First we will calculate the prime factors of 5314 and 5322.

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

Prime Factorization of 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 5314 and 5322.

LCM(5314,5322) = 21×31×8871×26571
LCM(5314,5322) = 14140554

Factors of 5314

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

1, 2, 2657, 5314

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1, 2, 3, 6, 887, 1774, 2661, 5322

Least Common Multiple of 5314 and 5322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5314 and 5322, than apply into the LCM equation.

GCF(5314,5322) = 2
LCM(5314,5322) = ( 5314 × 5322) / 2
LCM(5314,5322) = 28281108 / 2
LCM(5314,5322) = 14140554

Properties of LCM 5314 and 5322

(i) The LCM of 5322 and 5314 is associative

LCM of 5314 and 5322 = LCM of 5322 and 5314

Related Least Common Multiples of 5314

Related Least Common Multiples of 5322

Frequently Asked Questions on LCM of 5314 and 5322

1. What is the LCM of 5314 and 5322?

Answer: LCM of 5314 and 5322 is 14140554.

2. 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.

3. What are the Factors of 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

4. How to Find the LCM of 5314 and 5322?

Answer:

Least Common Multiple of 5314 and 5322 = 14140554

Step 1: Find the prime factorization of 5314

5314 = 2 x 2657

Step 2: Find the prime factorization of 5322

5322 = 2 x 3 x 887

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

LCM = 14140554 = 2 x 3 x 887 x 2657

Step 4: Therefore, the least common multiple of 5314 and 5322 is 14140554.