Least Common Multiple of 853 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 853 and 860 the smallest integer that is 733580 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 860 is 733580.

LCM(853,860) = 733580

LCM of 853 and 860

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

LCM of:
and

Least Common Multiple of 853 and 860

LCM of 853 and 860 is 733580

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 860. First we will calculate the prime factors of 853 and 860.

Prime Factorization of 853


853 853
1

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 8531

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 853 and 860.

LCM(853,860) = 22×51×431×8531
LCM(853,860) = 733580

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1, 853

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 853 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 853 and 860, than apply into the LCM equation.

GCF(853,860) = 1
LCM(853,860) = ( 853 × 860) / 1
LCM(853,860) = 733580 / 1
LCM(853,860) = 733580

Properties of LCM 853 and 860

(i) The LCM of 860 and 853 is associative

LCM of 853 and 860 = LCM of 860 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 853 and 860

1. What is the LCM of 853 and 860?

Answer: LCM of 853 and 860 is 733580.

2. What are the Factors of 853?

Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.

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 853 and 860?

Answer:

Least Common Multiple of 853 and 860 = 733580

Step 1: Find the prime factorization of 853

853 = 853

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 = 733580 = 2 x 2 x 5 x 43 x 853

Step 4: Therefore, the least common multiple of 853 and 860 is 733580.