Least Common Multiple of 840 and 842

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 842 the smallest integer that is 353640 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 842 is 353640.

LCM(840,842) = 353640

LCM of 840 and 842

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

LCM of:
and

Least Common Multiple of 840 and 842

LCM of 840 and 842 is 353640

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 842. First we will calculate the prime factors of 840 and 842.

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 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 842.

LCM(840,842) = 23×31×51×71×4211
LCM(840,842) = 353640

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 842

List of positive integer factors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Least Common Multiple of 840 and 842 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 842, than apply into the LCM equation.

GCF(840,842) = 2
LCM(840,842) = ( 840 × 842) / 2
LCM(840,842) = 707280 / 2
LCM(840,842) = 353640

Properties of LCM 840 and 842

(i) The LCM of 842 and 840 is associative

LCM of 840 and 842 = LCM of 842 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 842

Frequently Asked Questions on LCM of 840 and 842

1. What is the LCM of 840 and 842?

Answer: LCM of 840 and 842 is 353640.

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 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

4. How to Find the LCM of 840 and 842?

Answer:

Least Common Multiple of 840 and 842 = 353640

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 842

842 = 2 x 421

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

LCM = 353640 = 2 x 2 x 2 x 3 x 5 x 7 x 421

Step 4: Therefore, the least common multiple of 840 and 842 is 353640.