Least Common Multiple of 7808 and 7815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7808 and 7815 the smallest integer that is 61019520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7808 and 7815 is 61019520.

LCM(7808,7815) = 61019520

LCM of 7808 and 7815

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

LCM of:
and

Least Common Multiple of 7808 and 7815

LCM of 7808 and 7815 is 61019520

Least common multiple can be found by multiplying the highest exponent prime factors of 7808 and 7815. First we will calculate the prime factors of 7808 and 7815.

Prime Factorization of 7808


2 7808
2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 7808 are 2,61. Prime factorization of 7808 in exponential form is:

7808 = 27×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7808 and 7815.

LCM(7808,7815) = 27×31×51×611×5211
LCM(7808,7815) = 61019520

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808

Factors of 7815

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

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

Least Common Multiple of 7808 and 7815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7808 and 7815, than apply into the LCM equation.

GCF(7808,7815) = 1
LCM(7808,7815) = ( 7808 × 7815) / 1
LCM(7808,7815) = 61019520 / 1
LCM(7808,7815) = 61019520

Properties of LCM 7808 and 7815

(i) The LCM of 7815 and 7808 is associative

LCM of 7808 and 7815 = LCM of 7815 and 7808

Related Least Common Multiples of 7808

Related Least Common Multiples of 7815

Frequently Asked Questions on LCM of 7808 and 7815

1. What is the LCM of 7808 and 7815?

Answer: LCM of 7808 and 7815 is 61019520.

2. What are the Factors of 7808?

Answer: Factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808. There are 16 integers that are factors of 7808. The greatest factor of 7808 is 7808.

3. 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.

4. How to Find the LCM of 7808 and 7815?

Answer:

Least Common Multiple of 7808 and 7815 = 61019520

Step 1: Find the prime factorization of 7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 7815

7815 = 3 x 5 x 521

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

LCM = 61019520 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 61 x 521

Step 4: Therefore, the least common multiple of 7808 and 7815 is 61019520.