Least Common Multiple of 3815 and 3823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3815 and 3823 the smallest integer that is 14584745 that is divisible by both numbers.

Least Common Multiple (LCM) of 3815 and 3823 is 14584745.

LCM(3815,3823) = 14584745

LCM of 3815 and 3823

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

LCM of:
and

Least Common Multiple of 3815 and 3823

LCM of 3815 and 3823 is 14584745

Least common multiple can be found by multiplying the highest exponent prime factors of 3815 and 3823. First we will calculate the prime factors of 3815 and 3823.

Prime Factorization of 3815


5 3815
7 763
109 109
1

Prime factors of 3815 are 5, 7,109. Prime factorization of 3815 in exponential form is:

3815 = 51×71×1091

Prime Factorization of 3823


3823 3823
1

Prime factors of 3823 are 3823. Prime factorization of 3823 in exponential form is:

3823 = 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 3815 and 3823.

LCM(3815,3823) = 51×71×1091×38231
LCM(3815,3823) = 14584745

Factors of 3815

List of positive integer factors of 3815 that divides 3815 without a remainder.

1, 5, 7, 35, 109, 545, 763, 3815

Factors of 3823

List of positive integer factors of 3823 that divides 3823 without a remainder.

1, 3823

Least Common Multiple of 3815 and 3823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3815 and 3823, than apply into the LCM equation.

GCF(3815,3823) = 1
LCM(3815,3823) = ( 3815 × 3823) / 1
LCM(3815,3823) = 14584745 / 1
LCM(3815,3823) = 14584745

Properties of LCM 3815 and 3823

(i) The LCM of 3823 and 3815 is associative

LCM of 3815 and 3823 = LCM of 3823 and 3815

Related Least Common Multiples of 3815

Related Least Common Multiples of 3823

Frequently Asked Questions on LCM of 3815 and 3823

1. What is the LCM of 3815 and 3823?

Answer: LCM of 3815 and 3823 is 14584745.

2. What are the Factors of 3815?

Answer: Factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815. There are 8 integers that are factors of 3815. The greatest factor of 3815 is 3815.

3. What are the Factors of 3823?

Answer: Factors of 3823 are 1, 3823. There are 2 integers that are factors of 3823. The greatest factor of 3823 is 3823.

4. How to Find the LCM of 3815 and 3823?

Answer:

Least Common Multiple of 3815 and 3823 = 14584745

Step 1: Find the prime factorization of 3815

3815 = 5 x 7 x 109

Step 2: Find the prime factorization of 3823

3823 = 3823

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

LCM = 14584745 = 5 x 7 x 109 x 3823

Step 4: Therefore, the least common multiple of 3815 and 3823 is 14584745.