Least Common Multiple of 860 and 865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 860 and 865 the smallest integer that is 148780 that is divisible by both numbers.

Least Common Multiple (LCM) of 860 and 865 is 148780.

LCM(860,865) = 148780

LCM of 860 and 865

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

LCM of:
and

Least Common Multiple of 860 and 865

LCM of 860 and 865 is 148780

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 865. First we will calculate the prime factors of 860 and 865.

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2, 5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

Prime Factorization of 865


5 865
173 173
1

Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:

865 = 51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 865.

LCM(860,865) = 22×51×431×1731
LCM(860,865) = 148780

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Least Common Multiple of 860 and 865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 860 and 865, than apply into the LCM equation.

GCF(860,865) = 5
LCM(860,865) = ( 860 × 865) / 5
LCM(860,865) = 743900 / 5
LCM(860,865) = 148780

Properties of LCM 860 and 865

(i) The LCM of 865 and 860 is associative

LCM of 860 and 865 = LCM of 865 and 860

Related Least Common Multiples of 860

Related Least Common Multiples of 865

Frequently Asked Questions on LCM of 860 and 865

1. What is the LCM of 860 and 865?

Answer: LCM of 860 and 865 is 148780.

2. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

3. What are the Factors of 865?

Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.

4. How to Find the LCM of 860 and 865?

Answer:

Least Common Multiple of 860 and 865 = 148780

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 865

865 = 5 x 173

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

LCM = 148780 = 2 x 2 x 5 x 43 x 173

Step 4: Therefore, the least common multiple of 860 and 865 is 148780.