Least Common Multiple of 7815 and 7823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7815 and 7823 the smallest integer that is 61136745 that is divisible by both numbers.

Least Common Multiple (LCM) of 7815 and 7823 is 61136745.

LCM(7815,7823) = 61136745

LCM of 7815 and 7823

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

LCM of:
and

Least Common Multiple of 7815 and 7823

LCM of 7815 and 7823 is 61136745

Least common multiple can be found by multiplying the highest exponent prime factors of 7815 and 7823. First we will calculate the prime factors of 7815 and 7823.

Prime Factorization of 7815


3 7815
5 2605
521 521
1

Prime factors of 7815 are 3, 5,521. Prime factorization of 7815 in exponential form is:

7815 = 31×51×5211

Prime Factorization of 7823


7823 7823
1

Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:

7823 = 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 7815 and 7823.

LCM(7815,7823) = 31×51×5211×78231
LCM(7815,7823) = 61136745

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1, 3, 5, 15, 521, 1563, 2605, 7815

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1, 7823

Least Common Multiple of 7815 and 7823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7815 and 7823, than apply into the LCM equation.

GCF(7815,7823) = 1
LCM(7815,7823) = ( 7815 × 7823) / 1
LCM(7815,7823) = 61136745 / 1
LCM(7815,7823) = 61136745

Properties of LCM 7815 and 7823

(i) The LCM of 7823 and 7815 is associative

LCM of 7815 and 7823 = LCM of 7823 and 7815

Related Least Common Multiples of 7815

Related Least Common Multiples of 7823

Frequently Asked Questions on LCM of 7815 and 7823

1. What is the LCM of 7815 and 7823?

Answer: LCM of 7815 and 7823 is 61136745.

2. What are the Factors of 7815?

Answer: Factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815. There are 8 integers that are factors of 7815. The greatest factor of 7815 is 7815.

3. What are the Factors of 7823?

Answer: Factors of 7823 are 1, 7823. There are 2 integers that are factors of 7823. The greatest factor of 7823 is 7823.

4. How to Find the LCM of 7815 and 7823?

Answer:

Least Common Multiple of 7815 and 7823 = 61136745

Step 1: Find the prime factorization of 7815

7815 = 3 x 5 x 521

Step 2: Find the prime factorization of 7823

7823 = 7823

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

LCM = 61136745 = 3 x 5 x 521 x 7823

Step 4: Therefore, the least common multiple of 7815 and 7823 is 61136745.