Least Common Multiple of 7862 and 7866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7862 and 7866 the smallest integer that is 30921246 that is divisible by both numbers.

Least Common Multiple (LCM) of 7862 and 7866 is 30921246.

LCM(7862,7866) = 30921246

LCM of 7862 and 7866

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

LCM of:
and

Least Common Multiple of 7862 and 7866

LCM of 7862 and 7866 is 30921246

Least common multiple can be found by multiplying the highest exponent prime factors of 7862 and 7866. First we will calculate the prime factors of 7862 and 7866.

Prime Factorization of 7862


2 7862
3931 3931
1

Prime factors of 7862 are 2,3931. Prime factorization of 7862 in exponential form is:

7862 = 21×39311

Prime Factorization of 7866


2 7866
3 3933
3 1311
19 437
23 23
1

Prime factors of 7866 are 2, 3, 19,23. Prime factorization of 7866 in exponential form is:

7866 = 21×32×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7862 and 7866.

LCM(7862,7866) = 21×32×191×231×39311
LCM(7862,7866) = 30921246

Factors of 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1, 2, 3931, 7862

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866

Least Common Multiple of 7862 and 7866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7862 and 7866, than apply into the LCM equation.

GCF(7862,7866) = 2
LCM(7862,7866) = ( 7862 × 7866) / 2
LCM(7862,7866) = 61842492 / 2
LCM(7862,7866) = 30921246

Properties of LCM 7862 and 7866

(i) The LCM of 7866 and 7862 is associative

LCM of 7862 and 7866 = LCM of 7866 and 7862

Related Least Common Multiples of 7862

Related Least Common Multiples of 7866

Frequently Asked Questions on LCM of 7862 and 7866

1. What is the LCM of 7862 and 7866?

Answer: LCM of 7862 and 7866 is 30921246.

2. What are the Factors of 7862?

Answer: Factors of 7862 are 1, 2, 3931, 7862. There are 4 integers that are factors of 7862. The greatest factor of 7862 is 7862.

3. What are the Factors of 7866?

Answer: Factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866. There are 24 integers that are factors of 7866. The greatest factor of 7866 is 7866.

4. How to Find the LCM of 7862 and 7866?

Answer:

Least Common Multiple of 7862 and 7866 = 30921246

Step 1: Find the prime factorization of 7862

7862 = 2 x 3931

Step 2: Find the prime factorization of 7866

7866 = 2 x 3 x 3 x 19 x 23

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

LCM = 30921246 = 2 x 3 x 3 x 19 x 23 x 3931

Step 4: Therefore, the least common multiple of 7862 and 7866 is 30921246.