Least Common Multiple of 7860 and 7865

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 7865 the smallest integer that is 12363780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7860 and 7865 is 12363780.

LCM(7860,7865) = 12363780

LCM of 7860 and 7865

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

LCM of:
and

Least Common Multiple of 7860 and 7865

LCM of 7860 and 7865 is 12363780

Least common multiple can be found by multiplying the highest exponent prime factors of 7860 and 7865. First we will calculate the prime factors of 7860 and 7865.

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 7865


5 7865
11 1573
11 143
13 13
1

Prime factors of 7865 are 5, 11,13. Prime factorization of 7865 in exponential form is:

7865 = 51×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7860 and 7865.

LCM(7860,7865) = 22×31×51×112×131×1311
LCM(7860,7865) = 12363780

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 7865

List of positive integer factors of 7865 that divides 7865 without a remainder.

1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865

Least Common Multiple of 7860 and 7865 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 7865, than apply into the LCM equation.

GCF(7860,7865) = 5
LCM(7860,7865) = ( 7860 × 7865) / 5
LCM(7860,7865) = 61818900 / 5
LCM(7860,7865) = 12363780

Properties of LCM 7860 and 7865

(i) The LCM of 7865 and 7860 is associative

LCM of 7860 and 7865 = LCM of 7865 and 7860

Related Least Common Multiples of 7860

Related Least Common Multiples of 7865

Frequently Asked Questions on LCM of 7860 and 7865

1. What is the LCM of 7860 and 7865?

Answer: LCM of 7860 and 7865 is 12363780.

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 7865?

Answer: Factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865. There are 12 integers that are factors of 7865. The greatest factor of 7865 is 7865.

4. How to Find the LCM of 7860 and 7865?

Answer:

Least Common Multiple of 7860 and 7865 = 12363780

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 7865

7865 = 5 x 11 x 11 x 13

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

LCM = 12363780 = 2 x 2 x 3 x 5 x 11 x 11 x 13 x 131

Step 4: Therefore, the least common multiple of 7860 and 7865 is 12363780.