Least Common Multiple of 860 and 861

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 861 the smallest integer that is 740460 that is divisible by both numbers.

Least Common Multiple (LCM) of 860 and 861 is 740460.

LCM(860,861) = 740460

LCM of 860 and 861

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

LCM of:
and

Least Common Multiple of 860 and 861

LCM of 860 and 861 is 740460

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 861. First we will calculate the prime factors of 860 and 861.

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 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 861.

LCM(860,861) = 22×31×51×71×411×431
LCM(860,861) = 740460

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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Least Common Multiple of 860 and 861 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 861, than apply into the LCM equation.

GCF(860,861) = 1
LCM(860,861) = ( 860 × 861) / 1
LCM(860,861) = 740460 / 1
LCM(860,861) = 740460

Properties of LCM 860 and 861

(i) The LCM of 861 and 860 is associative

LCM of 860 and 861 = LCM of 861 and 860

Related Least Common Multiples of 860

Related Least Common Multiples of 861

Frequently Asked Questions on LCM of 860 and 861

1. What is the LCM of 860 and 861?

Answer: LCM of 860 and 861 is 740460.

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 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

4. How to Find the LCM of 860 and 861?

Answer:

Least Common Multiple of 860 and 861 = 740460

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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

LCM = 740460 = 2 x 2 x 3 x 5 x 7 x 41 x 43

Step 4: Therefore, the least common multiple of 860 and 861 is 740460.