Least Common Multiple of 851 and 853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 851 and 853 the smallest integer that is 725903 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 853 is 725903.

LCM(851,853) = 725903

LCM of 851 and 853

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

LCM of:
and

Least Common Multiple of 851 and 853

LCM of 851 and 853 is 725903

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 853. First we will calculate the prime factors of 851 and 853.

Prime Factorization of 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

Prime Factorization of 853


853 853
1

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

853 = 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 851 and 853.

LCM(851,853) = 231×371×8531
LCM(851,853) = 725903

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Factors of 853

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

1, 853

Least Common Multiple of 851 and 853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 851 and 853, than apply into the LCM equation.

GCF(851,853) = 1
LCM(851,853) = ( 851 × 853) / 1
LCM(851,853) = 725903 / 1
LCM(851,853) = 725903

Properties of LCM 851 and 853

(i) The LCM of 853 and 851 is associative

LCM of 851 and 853 = LCM of 853 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 853

Frequently Asked Questions on LCM of 851 and 853

1. What is the LCM of 851 and 853?

Answer: LCM of 851 and 853 is 725903.

2. What are the Factors of 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

3. 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.

4. How to Find the LCM of 851 and 853?

Answer:

Least Common Multiple of 851 and 853 = 725903

Step 1: Find the prime factorization of 851

851 = 23 x 37

Step 2: Find the prime factorization of 853

853 = 853

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

LCM = 725903 = 23 x 37 x 853

Step 4: Therefore, the least common multiple of 851 and 853 is 725903.