Least Common Multiple of 853 and 859

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 859 the smallest integer that is 732727 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 859 is 732727.

LCM(853,859) = 732727

LCM of 853 and 859

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

LCM of:
and

Least Common Multiple of 853 and 859

LCM of 853 and 859 is 732727

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 859. First we will calculate the prime factors of 853 and 859.

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 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 853 and 859.

LCM(853,859) = 8531×8591
LCM(853,859) = 732727

Factors of 853

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

1, 853

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1, 859

Least Common Multiple of 853 and 859 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 859, than apply into the LCM equation.

GCF(853,859) = 1
LCM(853,859) = ( 853 × 859) / 1
LCM(853,859) = 732727 / 1
LCM(853,859) = 732727

Properties of LCM 853 and 859

(i) The LCM of 859 and 853 is associative

LCM of 853 and 859 = LCM of 859 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 859

Frequently Asked Questions on LCM of 853 and 859

1. What is the LCM of 853 and 859?

Answer: LCM of 853 and 859 is 732727.

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 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

4. How to Find the LCM of 853 and 859?

Answer:

Least Common Multiple of 853 and 859 = 732727

Step 1: Find the prime factorization of 853

853 = 853

Step 2: Find the prime factorization of 859

859 = 859

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

LCM = 732727 = 853 x 859

Step 4: Therefore, the least common multiple of 853 and 859 is 732727.