Least Common Multiple of 7812 and 7817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7812 and 7817 the smallest integer that is 61066404 that is divisible by both numbers.

Least Common Multiple (LCM) of 7812 and 7817 is 61066404.

LCM(7812,7817) = 61066404

LCM of 7812 and 7817

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

LCM of:
and

Least Common Multiple of 7812 and 7817

LCM of 7812 and 7817 is 61066404

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7817. First we will calculate the prime factors of 7812 and 7817.

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

Prime Factorization of 7817


7817 7817
1

Prime factors of 7817 are 7817. Prime factorization of 7817 in exponential form is:

7817 = 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7817.

LCM(7812,7817) = 22×32×71×311×78171
LCM(7812,7817) = 61066404

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

Factors of 7817

List of positive integer factors of 7817 that divides 7817 without a remainder.

1, 7817

Least Common Multiple of 7812 and 7817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7812 and 7817, than apply into the LCM equation.

GCF(7812,7817) = 1
LCM(7812,7817) = ( 7812 × 7817) / 1
LCM(7812,7817) = 61066404 / 1
LCM(7812,7817) = 61066404

Properties of LCM 7812 and 7817

(i) The LCM of 7817 and 7812 is associative

LCM of 7812 and 7817 = LCM of 7817 and 7812

Related Least Common Multiples of 7812

Related Least Common Multiples of 7817

Frequently Asked Questions on LCM of 7812 and 7817

1. What is the LCM of 7812 and 7817?

Answer: LCM of 7812 and 7817 is 61066404.

2. 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.

3. What are the Factors of 7817?

Answer: Factors of 7817 are 1, 7817. There are 2 integers that are factors of 7817. The greatest factor of 7817 is 7817.

4. How to Find the LCM of 7812 and 7817?

Answer:

Least Common Multiple of 7812 and 7817 = 61066404

Step 1: Find the prime factorization of 7812

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

Step 2: Find the prime factorization of 7817

7817 = 7817

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

LCM = 61066404 = 2 x 2 x 3 x 3 x 7 x 31 x 7817

Step 4: Therefore, the least common multiple of 7812 and 7817 is 61066404.