Least Common Multiple of 840 and 841

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 841 the smallest integer that is 706440 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 841 is 706440.

LCM(840,841) = 706440

LCM of 840 and 841

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

LCM of:
and

Least Common Multiple of 840 and 841

LCM of 840 and 841 is 706440

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 841. First we will calculate the prime factors of 840 and 841.

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 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 841.

LCM(840,841) = 23×31×51×71×292
LCM(840,841) = 706440

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 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

Least Common Multiple of 840 and 841 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 841, than apply into the LCM equation.

GCF(840,841) = 1
LCM(840,841) = ( 840 × 841) / 1
LCM(840,841) = 706440 / 1
LCM(840,841) = 706440

Properties of LCM 840 and 841

(i) The LCM of 841 and 840 is associative

LCM of 840 and 841 = LCM of 841 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 841

Frequently Asked Questions on LCM of 840 and 841

1. What is the LCM of 840 and 841?

Answer: LCM of 840 and 841 is 706440.

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 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

4. How to Find the LCM of 840 and 841?

Answer:

Least Common Multiple of 840 and 841 = 706440

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 841

841 = 29 x 29

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

LCM = 706440 = 2 x 2 x 2 x 3 x 5 x 7 x 29 x 29

Step 4: Therefore, the least common multiple of 840 and 841 is 706440.