Least Common Multiple of 3860 and 3865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3860 and 3865 the smallest integer that is 2983780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3860 and 3865 is 2983780.

LCM(3860,3865) = 2983780

LCM of 3860 and 3865

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

LCM of:
and

Least Common Multiple of 3860 and 3865

LCM of 3860 and 3865 is 2983780

Least common multiple can be found by multiplying the highest exponent prime factors of 3860 and 3865. First we will calculate the prime factors of 3860 and 3865.

Prime Factorization of 3860


2 3860
2 1930
5 965
193 193
1

Prime factors of 3860 are 2, 5,193. Prime factorization of 3860 in exponential form is:

3860 = 22×51×1931

Prime Factorization of 3865


5 3865
773 773
1

Prime factors of 3865 are 5,773. Prime factorization of 3865 in exponential form is:

3865 = 51×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 3860 and 3865.

LCM(3860,3865) = 22×51×1931×7731
LCM(3860,3865) = 2983780

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860

Factors of 3865

List of positive integer factors of 3865 that divides 3865 without a remainder.

1, 5, 773, 3865

Least Common Multiple of 3860 and 3865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3860 and 3865, than apply into the LCM equation.

GCF(3860,3865) = 5
LCM(3860,3865) = ( 3860 × 3865) / 5
LCM(3860,3865) = 14918900 / 5
LCM(3860,3865) = 2983780

Properties of LCM 3860 and 3865

(i) The LCM of 3865 and 3860 is associative

LCM of 3860 and 3865 = LCM of 3865 and 3860

Related Least Common Multiples of 3860

Related Least Common Multiples of 3865

Frequently Asked Questions on LCM of 3860 and 3865

1. What is the LCM of 3860 and 3865?

Answer: LCM of 3860 and 3865 is 2983780.

2. What are the Factors of 3860?

Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.

3. What are the Factors of 3865?

Answer: Factors of 3865 are 1, 5, 773, 3865. There are 4 integers that are factors of 3865. The greatest factor of 3865 is 3865.

4. How to Find the LCM of 3860 and 3865?

Answer:

Least Common Multiple of 3860 and 3865 = 2983780

Step 1: Find the prime factorization of 3860

3860 = 2 x 2 x 5 x 193

Step 2: Find the prime factorization of 3865

3865 = 5 x 773

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

LCM = 2983780 = 2 x 2 x 5 x 193 x 773

Step 4: Therefore, the least common multiple of 3860 and 3865 is 2983780.