Least Common Multiple of 7806 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 7806 and 7812 the smallest integer that is 10163412 that is divisible by both numbers.

Least Common Multiple (LCM) of 7806 and 7812 is 10163412.

LCM(7806,7812) = 10163412

LCM of 7806 and 7812

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

LCM of:
and

Least Common Multiple of 7806 and 7812

LCM of 7806 and 7812 is 10163412

Least common multiple can be found by multiplying the highest exponent prime factors of 7806 and 7812. First we will calculate the prime factors of 7806 and 7812.

Prime Factorization of 7806


2 7806
3 3903
1301 1301
1

Prime factors of 7806 are 2, 3,1301. Prime factorization of 7806 in exponential form is:

7806 = 21×31×13011

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 7806 and 7812.

LCM(7806,7812) = 22×32×71×311×13011
LCM(7806,7812) = 10163412

Factors of 7806

List of positive integer factors of 7806 that divides 7806 without a remainder.

1, 2, 3, 6, 1301, 2602, 3903, 7806

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 7806 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 7806 and 7812, than apply into the LCM equation.

GCF(7806,7812) = 6
LCM(7806,7812) = ( 7806 × 7812) / 6
LCM(7806,7812) = 60980472 / 6
LCM(7806,7812) = 10163412

Properties of LCM 7806 and 7812

(i) The LCM of 7812 and 7806 is associative

LCM of 7806 and 7812 = LCM of 7812 and 7806

Related Least Common Multiples of 7806

Related Least Common Multiples of 7812

Frequently Asked Questions on LCM of 7806 and 7812

1. What is the LCM of 7806 and 7812?

Answer: LCM of 7806 and 7812 is 10163412.

2. What are the Factors of 7806?

Answer: Factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806. There are 8 integers that are factors of 7806. The greatest factor of 7806 is 7806.

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 7806 and 7812?

Answer:

Least Common Multiple of 7806 and 7812 = 10163412

Step 1: Find the prime factorization of 7806

7806 = 2 x 3 x 1301

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 = 10163412 = 2 x 2 x 3 x 3 x 7 x 31 x 1301

Step 4: Therefore, the least common multiple of 7806 and 7812 is 10163412.