Least Common Multiple of 7805 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 7805 and 7812 the smallest integer that is 8710380 that is divisible by both numbers.

Least Common Multiple (LCM) of 7805 and 7812 is 8710380.

LCM(7805,7812) = 8710380

LCM of 7805 and 7812

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

LCM of:
and

Least Common Multiple of 7805 and 7812

LCM of 7805 and 7812 is 8710380

Least common multiple can be found by multiplying the highest exponent prime factors of 7805 and 7812. First we will calculate the prime factors of 7805 and 7812.

Prime Factorization of 7805


5 7805
7 1561
223 223
1

Prime factors of 7805 are 5, 7,223. Prime factorization of 7805 in exponential form is:

7805 = 51×71×2231

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 7805 and 7812.

LCM(7805,7812) = 22×32×51×71×311×2231
LCM(7805,7812) = 8710380

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1, 5, 7, 35, 223, 1115, 1561, 7805

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 7805 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 7805 and 7812, than apply into the LCM equation.

GCF(7805,7812) = 7
LCM(7805,7812) = ( 7805 × 7812) / 7
LCM(7805,7812) = 60972660 / 7
LCM(7805,7812) = 8710380

Properties of LCM 7805 and 7812

(i) The LCM of 7812 and 7805 is associative

LCM of 7805 and 7812 = LCM of 7812 and 7805

Related Least Common Multiples of 7805

Related Least Common Multiples of 7812

Frequently Asked Questions on LCM of 7805 and 7812

1. What is the LCM of 7805 and 7812?

Answer: LCM of 7805 and 7812 is 8710380.

2. What are the Factors of 7805?

Answer: Factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805. There are 8 integers that are factors of 7805. The greatest factor of 7805 is 7805.

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 7805 and 7812?

Answer:

Least Common Multiple of 7805 and 7812 = 8710380

Step 1: Find the prime factorization of 7805

7805 = 5 x 7 x 223

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 = 8710380 = 2 x 2 x 3 x 3 x 5 x 7 x 31 x 223

Step 4: Therefore, the least common multiple of 7805 and 7812 is 8710380.