Least Common Multiple of 5714 and 5722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5714 and 5722 the smallest integer that is 16347754 that is divisible by both numbers.

Least Common Multiple (LCM) of 5714 and 5722 is 16347754.

LCM(5714,5722) = 16347754

LCM of 5714 and 5722

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

LCM of:
and

Least Common Multiple of 5714 and 5722

LCM of 5714 and 5722 is 16347754

Least common multiple can be found by multiplying the highest exponent prime factors of 5714 and 5722. First we will calculate the prime factors of 5714 and 5722.

Prime Factorization of 5714


2 5714
2857 2857
1

Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:

5714 = 21×28571

Prime Factorization of 5722


2 5722
2861 2861
1

Prime factors of 5722 are 2,2861. Prime factorization of 5722 in exponential form is:

5722 = 21×28611

Now multiplying the highest exponent prime factors to calculate the LCM of 5714 and 5722.

LCM(5714,5722) = 21×28571×28611
LCM(5714,5722) = 16347754

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1, 2, 2857, 5714

Factors of 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1, 2, 2861, 5722

Least Common Multiple of 5714 and 5722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5714 and 5722, than apply into the LCM equation.

GCF(5714,5722) = 2
LCM(5714,5722) = ( 5714 × 5722) / 2
LCM(5714,5722) = 32695508 / 2
LCM(5714,5722) = 16347754

Properties of LCM 5714 and 5722

(i) The LCM of 5722 and 5714 is associative

LCM of 5714 and 5722 = LCM of 5722 and 5714

Related Least Common Multiples of 5714

Related Least Common Multiples of 5722

Frequently Asked Questions on LCM of 5714 and 5722

1. What is the LCM of 5714 and 5722?

Answer: LCM of 5714 and 5722 is 16347754.

2. What are the Factors of 5714?

Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.

3. What are the Factors of 5722?

Answer: Factors of 5722 are 1, 2, 2861, 5722. There are 4 integers that are factors of 5722. The greatest factor of 5722 is 5722.

4. How to Find the LCM of 5714 and 5722?

Answer:

Least Common Multiple of 5714 and 5722 = 16347754

Step 1: Find the prime factorization of 5714

5714 = 2 x 2857

Step 2: Find the prime factorization of 5722

5722 = 2 x 2861

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

LCM = 16347754 = 2 x 2857 x 2861

Step 4: Therefore, the least common multiple of 5714 and 5722 is 16347754.