Least Common Multiple of 860 and 868

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 868 the smallest integer that is 186620 that is divisible by both numbers.

Least Common Multiple (LCM) of 860 and 868 is 186620.

LCM(860,868) = 186620

LCM of 860 and 868

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

LCM of:
and

Least Common Multiple of 860 and 868

LCM of 860 and 868 is 186620

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 868. First we will calculate the prime factors of 860 and 868.

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 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 868.

LCM(860,868) = 22×51×71×311×431
LCM(860,868) = 186620

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 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Least Common Multiple of 860 and 868 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 868, than apply into the LCM equation.

GCF(860,868) = 4
LCM(860,868) = ( 860 × 868) / 4
LCM(860,868) = 746480 / 4
LCM(860,868) = 186620

Properties of LCM 860 and 868

(i) The LCM of 868 and 860 is associative

LCM of 860 and 868 = LCM of 868 and 860

Related Least Common Multiples of 860

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 860 and 868

1. What is the LCM of 860 and 868?

Answer: LCM of 860 and 868 is 186620.

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 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

4. How to Find the LCM of 860 and 868?

Answer:

Least Common Multiple of 860 and 868 = 186620

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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

LCM = 186620 = 2 x 2 x 5 x 7 x 31 x 43

Step 4: Therefore, the least common multiple of 860 and 868 is 186620.