Least Common Multiple of 860 and 866

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 866 the smallest integer that is 372380 that is divisible by both numbers.

Least Common Multiple (LCM) of 860 and 866 is 372380.

LCM(860,866) = 372380

LCM of 860 and 866

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

LCM of:
and

Least Common Multiple of 860 and 866

LCM of 860 and 866 is 372380

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 866. First we will calculate the prime factors of 860 and 866.

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 866


2 866
433 433
1

Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:

866 = 21×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 866.

LCM(860,866) = 22×51×431×4331
LCM(860,866) = 372380

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 866

List of positive integer factors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Least Common Multiple of 860 and 866 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 866, than apply into the LCM equation.

GCF(860,866) = 2
LCM(860,866) = ( 860 × 866) / 2
LCM(860,866) = 744760 / 2
LCM(860,866) = 372380

Properties of LCM 860 and 866

(i) The LCM of 866 and 860 is associative

LCM of 860 and 866 = LCM of 866 and 860

Related Least Common Multiples of 860

Related Least Common Multiples of 866

Frequently Asked Questions on LCM of 860 and 866

1. What is the LCM of 860 and 866?

Answer: LCM of 860 and 866 is 372380.

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 866?

Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.

4. How to Find the LCM of 860 and 866?

Answer:

Least Common Multiple of 860 and 866 = 372380

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 866

866 = 2 x 433

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

LCM = 372380 = 2 x 2 x 5 x 43 x 433

Step 4: Therefore, the least common multiple of 860 and 866 is 372380.