Least Common Multiple of 5807 and 5815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5807 and 5815 the smallest integer that is 33767705 that is divisible by both numbers.

Least Common Multiple (LCM) of 5807 and 5815 is 33767705.

LCM(5807,5815) = 33767705

LCM of 5807 and 5815

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

LCM of:
and

Least Common Multiple of 5807 and 5815

LCM of 5807 and 5815 is 33767705

Least common multiple can be found by multiplying the highest exponent prime factors of 5807 and 5815. First we will calculate the prime factors of 5807 and 5815.

Prime Factorization of 5807


5807 5807
1

Prime factors of 5807 are 5807. Prime factorization of 5807 in exponential form is:

5807 = 58071

Prime Factorization of 5815


5 5815
1163 1163
1

Prime factors of 5815 are 5,1163. Prime factorization of 5815 in exponential form is:

5815 = 51×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 5807 and 5815.

LCM(5807,5815) = 51×11631×58071
LCM(5807,5815) = 33767705

Factors of 5807

List of positive integer factors of 5807 that divides 5807 without a remainder.

1, 5807

Factors of 5815

List of positive integer factors of 5815 that divides 5815 without a remainder.

1, 5, 1163, 5815

Least Common Multiple of 5807 and 5815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5807 and 5815, than apply into the LCM equation.

GCF(5807,5815) = 1
LCM(5807,5815) = ( 5807 × 5815) / 1
LCM(5807,5815) = 33767705 / 1
LCM(5807,5815) = 33767705

Properties of LCM 5807 and 5815

(i) The LCM of 5815 and 5807 is associative

LCM of 5807 and 5815 = LCM of 5815 and 5807

Related Least Common Multiples of 5807

Related Least Common Multiples of 5815

Frequently Asked Questions on LCM of 5807 and 5815

1. What is the LCM of 5807 and 5815?

Answer: LCM of 5807 and 5815 is 33767705.

2. What are the Factors of 5807?

Answer: Factors of 5807 are 1, 5807. There are 2 integers that are factors of 5807. The greatest factor of 5807 is 5807.

3. What are the Factors of 5815?

Answer: Factors of 5815 are 1, 5, 1163, 5815. There are 4 integers that are factors of 5815. The greatest factor of 5815 is 5815.

4. How to Find the LCM of 5807 and 5815?

Answer:

Least Common Multiple of 5807 and 5815 = 33767705

Step 1: Find the prime factorization of 5807

5807 = 5807

Step 2: Find the prime factorization of 5815

5815 = 5 x 1163

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

LCM = 33767705 = 5 x 1163 x 5807

Step 4: Therefore, the least common multiple of 5807 and 5815 is 33767705.