Least Common Multiple of 844 and 851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 844 and 851 the smallest integer that is 718244 that is divisible by both numbers.

Least Common Multiple (LCM) of 844 and 851 is 718244.

LCM(844,851) = 718244

LCM of 844 and 851

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

LCM of:
and

Least Common Multiple of 844 and 851

LCM of 844 and 851 is 718244

Least common multiple can be found by multiplying the highest exponent prime factors of 844 and 851. First we will calculate the prime factors of 844 and 851.

Prime Factorization of 844


2 844
2 422
211 211
1

Prime factors of 844 are 2,211. Prime factorization of 844 in exponential form is:

844 = 22×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 844 and 851.

LCM(844,851) = 22×231×371×2111
LCM(844,851) = 718244

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Factors of 851

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

1, 23, 37, 851

Least Common Multiple of 844 and 851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 844 and 851, than apply into the LCM equation.

GCF(844,851) = 1
LCM(844,851) = ( 844 × 851) / 1
LCM(844,851) = 718244 / 1
LCM(844,851) = 718244

Properties of LCM 844 and 851

(i) The LCM of 851 and 844 is associative

LCM of 844 and 851 = LCM of 851 and 844

Related Least Common Multiples of 844

Related Least Common Multiples of 851

Frequently Asked Questions on LCM of 844 and 851

1. What is the LCM of 844 and 851?

Answer: LCM of 844 and 851 is 718244.

2. What are the Factors of 844?

Answer: Factors of 844 are 1, 2, 4, 211, 422, 844. There are 6 integers that are factors of 844. The greatest factor of 844 is 844.

3. 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.

4. How to Find the LCM of 844 and 851?

Answer:

Least Common Multiple of 844 and 851 = 718244

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

Step 2: Find the prime factorization of 851

851 = 23 x 37

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

LCM = 718244 = 2 x 2 x 23 x 37 x 211

Step 4: Therefore, the least common multiple of 844 and 851 is 718244.