Least Common Multiple of 854 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 854 and 860 the smallest integer that is 367220 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 860 is 367220.

LCM(854,860) = 367220

LCM of 854 and 860

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

LCM of:
and

Least Common Multiple of 854 and 860

LCM of 854 and 860 is 367220

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 860. First we will calculate the prime factors of 854 and 860.

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

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 854 and 860.

LCM(854,860) = 22×51×71×431×611
LCM(854,860) = 367220

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 854 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 854 and 860, than apply into the LCM equation.

GCF(854,860) = 2
LCM(854,860) = ( 854 × 860) / 2
LCM(854,860) = 734440 / 2
LCM(854,860) = 367220

Properties of LCM 854 and 860

(i) The LCM of 860 and 854 is associative

LCM of 854 and 860 = LCM of 860 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 854 and 860

1. What is the LCM of 854 and 860?

Answer: LCM of 854 and 860 is 367220.

2. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

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 854 and 860?

Answer:

Least Common Multiple of 854 and 860 = 367220

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

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 = 367220 = 2 x 2 x 5 x 7 x 43 x 61

Step 4: Therefore, the least common multiple of 854 and 860 is 367220.