Least Common Multiple of 856 and 860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 856 and 860 the smallest integer that is 184040 that is divisible by both numbers.

Least Common Multiple (LCM) of 856 and 860 is 184040.

LCM(856,860) = 184040

LCM of 856 and 860

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

LCM of:
and

Least Common Multiple of 856 and 860

LCM of 856 and 860 is 184040

Least common multiple can be found by multiplying the highest exponent prime factors of 856 and 860. First we will calculate the prime factors of 856 and 860.

Prime Factorization of 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 856 and 860.

LCM(856,860) = 23×51×431×1071
LCM(856,860) = 184040

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

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

Least Common Multiple of 856 and 860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 856 and 860, than apply into the LCM equation.

GCF(856,860) = 4
LCM(856,860) = ( 856 × 860) / 4
LCM(856,860) = 736160 / 4
LCM(856,860) = 184040

Properties of LCM 856 and 860

(i) The LCM of 860 and 856 is associative

LCM of 856 and 860 = LCM of 860 and 856

Related Least Common Multiples of 856

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 856 and 860

1. What is the LCM of 856 and 860?

Answer: LCM of 856 and 860 is 184040.

2. What are the Factors of 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

3. 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.

4. How to Find the LCM of 856 and 860?

Answer:

Least Common Multiple of 856 and 860 = 184040

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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

LCM = 184040 = 2 x 2 x 2 x 5 x 43 x 107

Step 4: Therefore, the least common multiple of 856 and 860 is 184040.