Least Common Multiple of 7860 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 7860 and 7866 the smallest integer that is 10304460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7860 and 7866 is 10304460.

LCM(7860,7866) = 10304460

LCM of 7860 and 7866

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

LCM of:
and

Least Common Multiple of 7860 and 7866

LCM of 7860 and 7866 is 10304460

Least common multiple can be found by multiplying the highest exponent prime factors of 7860 and 7866. First we will calculate the prime factors of 7860 and 7866.

Prime Factorization of 7860


2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 7860 are 2, 3, 5,131. Prime factorization of 7860 in exponential form is:

7860 = 22×31×51×1311

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 7860 and 7866.

LCM(7860,7866) = 22×32×51×191×231×1311
LCM(7860,7866) = 10304460

Factors of 7860

List of positive integer factors of 7860 that divides 7860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860

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 7860 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 7860 and 7866, than apply into the LCM equation.

GCF(7860,7866) = 6
LCM(7860,7866) = ( 7860 × 7866) / 6
LCM(7860,7866) = 61826760 / 6
LCM(7860,7866) = 10304460

Properties of LCM 7860 and 7866

(i) The LCM of 7866 and 7860 is associative

LCM of 7860 and 7866 = LCM of 7866 and 7860

Related Least Common Multiples of 7860

Related Least Common Multiples of 7866

Frequently Asked Questions on LCM of 7860 and 7866

1. What is the LCM of 7860 and 7866?

Answer: LCM of 7860 and 7866 is 10304460.

2. What are the Factors of 7860?

Answer: Factors of 7860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860. There are 24 integers that are factors of 7860. The greatest factor of 7860 is 7860.

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 7860 and 7866?

Answer:

Least Common Multiple of 7860 and 7866 = 10304460

Step 1: Find the prime factorization of 7860

7860 = 2 x 2 x 3 x 5 x 131

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 = 10304460 = 2 x 2 x 3 x 3 x 5 x 19 x 23 x 131

Step 4: Therefore, the least common multiple of 7860 and 7866 is 10304460.