Least Common Multiple of 851 and 854

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 854 the smallest integer that is 726754 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 854 is 726754.

LCM(851,854) = 726754

LCM of 851 and 854

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

LCM of:
and

Least Common Multiple of 851 and 854

LCM of 851 and 854 is 726754

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 854. First we will calculate the prime factors of 851 and 854.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 851 and 854.

LCM(851,854) = 21×71×231×371×611
LCM(851,854) = 726754

Factors of 851

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

1, 23, 37, 851

Factors of 854

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

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

Least Common Multiple of 851 and 854 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 854, than apply into the LCM equation.

GCF(851,854) = 1
LCM(851,854) = ( 851 × 854) / 1
LCM(851,854) = 726754 / 1
LCM(851,854) = 726754

Properties of LCM 851 and 854

(i) The LCM of 854 and 851 is associative

LCM of 851 and 854 = LCM of 854 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 851 and 854

1. What is the LCM of 851 and 854?

Answer: LCM of 851 and 854 is 726754.

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 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.

4. How to Find the LCM of 851 and 854?

Answer:

Least Common Multiple of 851 and 854 = 726754

Step 1: Find the prime factorization of 851

851 = 23 x 37

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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

LCM = 726754 = 2 x 7 x 23 x 37 x 61

Step 4: Therefore, the least common multiple of 851 and 854 is 726754.