Least Common Multiple of 844 and 852

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 852 the smallest integer that is 179772 that is divisible by both numbers.

Least Common Multiple (LCM) of 844 and 852 is 179772.

LCM(844,852) = 179772

LCM of 844 and 852

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

LCM of:
and

Least Common Multiple of 844 and 852

LCM of 844 and 852 is 179772

Least common multiple can be found by multiplying the highest exponent prime factors of 844 and 852. First we will calculate the prime factors of 844 and 852.

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 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2, 3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 844 and 852.

LCM(844,852) = 22×31×711×2111
LCM(844,852) = 179772

Factors of 844

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

1, 2, 4, 211, 422, 844

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Least Common Multiple of 844 and 852 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 852, than apply into the LCM equation.

GCF(844,852) = 4
LCM(844,852) = ( 844 × 852) / 4
LCM(844,852) = 719088 / 4
LCM(844,852) = 179772

Properties of LCM 844 and 852

(i) The LCM of 852 and 844 is associative

LCM of 844 and 852 = LCM of 852 and 844

Related Least Common Multiples of 844

Related Least Common Multiples of 852

Frequently Asked Questions on LCM of 844 and 852

1. What is the LCM of 844 and 852?

Answer: LCM of 844 and 852 is 179772.

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 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

4. How to Find the LCM of 844 and 852?

Answer:

Least Common Multiple of 844 and 852 = 179772

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

Step 2: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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

LCM = 179772 = 2 x 2 x 3 x 71 x 211

Step 4: Therefore, the least common multiple of 844 and 852 is 179772.