Least Common Multiple of 7808 and 7812

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 7812 the smallest integer that is 15249024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7808 and 7812 is 15249024.

LCM(7808,7812) = 15249024

LCM of 7808 and 7812

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

LCM of:
and

Least Common Multiple of 7808 and 7812

LCM of 7808 and 7812 is 15249024

Least common multiple can be found by multiplying the highest exponent prime factors of 7808 and 7812. First we will calculate the prime factors of 7808 and 7812.

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 7812


2 7812
2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 7812 are 2, 3, 7,31. Prime factorization of 7812 in exponential form is:

7812 = 22×32×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7808 and 7812.

LCM(7808,7812) = 27×32×71×311×611
LCM(7808,7812) = 15249024

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 7812

List of positive integer factors of 7812 that divides 7812 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812

Least Common Multiple of 7808 and 7812 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 7812, than apply into the LCM equation.

GCF(7808,7812) = 4
LCM(7808,7812) = ( 7808 × 7812) / 4
LCM(7808,7812) = 60996096 / 4
LCM(7808,7812) = 15249024

Properties of LCM 7808 and 7812

(i) The LCM of 7812 and 7808 is associative

LCM of 7808 and 7812 = LCM of 7812 and 7808

Related Least Common Multiples of 7808

Related Least Common Multiples of 7812

Frequently Asked Questions on LCM of 7808 and 7812

1. What is the LCM of 7808 and 7812?

Answer: LCM of 7808 and 7812 is 15249024.

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 7812?

Answer: Factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812. There are 36 integers that are factors of 7812. The greatest factor of 7812 is 7812.

4. How to Find the LCM of 7808 and 7812?

Answer:

Least Common Multiple of 7808 and 7812 = 15249024

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 7812

7812 = 2 x 2 x 3 x 3 x 7 x 31

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

LCM = 15249024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 x 61

Step 4: Therefore, the least common multiple of 7808 and 7812 is 15249024.