Least Common Multiple of 840 and 844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 840 and 844 the smallest integer that is 177240 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 844 is 177240.

LCM(840,844) = 177240

LCM of 840 and 844

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

LCM of:
and

Least Common Multiple of 840 and 844

LCM of 840 and 844 is 177240

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 844. First we will calculate the prime factors of 840 and 844.

Prime Factorization of 840


2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 840 are 2, 3, 5,7. Prime factorization of 840 in exponential form is:

840 = 23×31×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 844.

LCM(840,844) = 23×31×51×71×2111
LCM(840,844) = 177240

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Factors of 844

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

1, 2, 4, 211, 422, 844

Least Common Multiple of 840 and 844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 840 and 844, than apply into the LCM equation.

GCF(840,844) = 4
LCM(840,844) = ( 840 × 844) / 4
LCM(840,844) = 708960 / 4
LCM(840,844) = 177240

Properties of LCM 840 and 844

(i) The LCM of 844 and 840 is associative

LCM of 840 and 844 = LCM of 844 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 844

Frequently Asked Questions on LCM of 840 and 844

1. What is the LCM of 840 and 844?

Answer: LCM of 840 and 844 is 177240.

2. What are the Factors of 840?

Answer: Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840. There are 32 integers that are factors of 840. The greatest factor of 840 is 840.

3. 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.

4. How to Find the LCM of 840 and 844?

Answer:

Least Common Multiple of 840 and 844 = 177240

Step 1: Find the prime factorization of 840

840 = 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 844

844 = 2 x 2 x 211

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

LCM = 177240 = 2 x 2 x 2 x 3 x 5 x 7 x 211

Step 4: Therefore, the least common multiple of 840 and 844 is 177240.