Least Common Multiple of 853 and 857

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 857 the smallest integer that is 731021 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 857 is 731021.

LCM(853,857) = 731021

LCM of 853 and 857

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

LCM of:
and

Least Common Multiple of 853 and 857

LCM of 853 and 857 is 731021

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 857. First we will calculate the prime factors of 853 and 857.

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 857


857 857
1

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 853 and 857.

LCM(853,857) = 8531×8571
LCM(853,857) = 731021

Factors of 853

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

1, 853

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1, 857

Least Common Multiple of 853 and 857 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 857, than apply into the LCM equation.

GCF(853,857) = 1
LCM(853,857) = ( 853 × 857) / 1
LCM(853,857) = 731021 / 1
LCM(853,857) = 731021

Properties of LCM 853 and 857

(i) The LCM of 857 and 853 is associative

LCM of 853 and 857 = LCM of 857 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 857

Frequently Asked Questions on LCM of 853 and 857

1. What is the LCM of 853 and 857?

Answer: LCM of 853 and 857 is 731021.

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 857?

Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.

4. How to Find the LCM of 853 and 857?

Answer:

Least Common Multiple of 853 and 857 = 731021

Step 1: Find the prime factorization of 853

853 = 853

Step 2: Find the prime factorization of 857

857 = 857

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

LCM = 731021 = 853 x 857

Step 4: Therefore, the least common multiple of 853 and 857 is 731021.