Least Common Multiple of 5715 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 5715 and 5722 the smallest integer that is 32701230 that is divisible by both numbers.

Least Common Multiple (LCM) of 5715 and 5722 is 32701230.

LCM(5715,5722) = 32701230

LCM of 5715 and 5722

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

LCM of:
and

Least Common Multiple of 5715 and 5722

LCM of 5715 and 5722 is 32701230

Least common multiple can be found by multiplying the highest exponent prime factors of 5715 and 5722. First we will calculate the prime factors of 5715 and 5722.

Prime Factorization of 5715


3 5715
3 1905
5 635
127 127
1

Prime factors of 5715 are 3, 5,127. Prime factorization of 5715 in exponential form is:

5715 = 32×51×1271

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 5715 and 5722.

LCM(5715,5722) = 21×32×51×1271×28611
LCM(5715,5722) = 32701230

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715

Factors of 5722

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

1, 2, 2861, 5722

Least Common Multiple of 5715 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 5715 and 5722, than apply into the LCM equation.

GCF(5715,5722) = 1
LCM(5715,5722) = ( 5715 × 5722) / 1
LCM(5715,5722) = 32701230 / 1
LCM(5715,5722) = 32701230

Properties of LCM 5715 and 5722

(i) The LCM of 5722 and 5715 is associative

LCM of 5715 and 5722 = LCM of 5722 and 5715

Related Least Common Multiples of 5715

Related Least Common Multiples of 5722

Frequently Asked Questions on LCM of 5715 and 5722

1. What is the LCM of 5715 and 5722?

Answer: LCM of 5715 and 5722 is 32701230.

2. What are the Factors of 5715?

Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.

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 5715 and 5722?

Answer:

Least Common Multiple of 5715 and 5722 = 32701230

Step 1: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

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 = 32701230 = 2 x 3 x 3 x 5 x 127 x 2861

Step 4: Therefore, the least common multiple of 5715 and 5722 is 32701230.