Least Common Multiple of 840 and 843

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 843 the smallest integer that is 236040 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 843 is 236040.

LCM(840,843) = 236040

LCM of 840 and 843

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

LCM of:
and

Least Common Multiple of 840 and 843

LCM of 840 and 843 is 236040

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 843. First we will calculate the prime factors of 840 and 843.

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 843


3 843
281 281
1

Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:

843 = 31×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 843.

LCM(840,843) = 23×31×51×71×2811
LCM(840,843) = 236040

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 843

List of positive integer factors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Least Common Multiple of 840 and 843 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 843, than apply into the LCM equation.

GCF(840,843) = 3
LCM(840,843) = ( 840 × 843) / 3
LCM(840,843) = 708120 / 3
LCM(840,843) = 236040

Properties of LCM 840 and 843

(i) The LCM of 843 and 840 is associative

LCM of 840 and 843 = LCM of 843 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 843

Frequently Asked Questions on LCM of 840 and 843

1. What is the LCM of 840 and 843?

Answer: LCM of 840 and 843 is 236040.

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 843?

Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.

4. How to Find the LCM of 840 and 843?

Answer:

Least Common Multiple of 840 and 843 = 236040

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 843

843 = 3 x 281

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

LCM = 236040 = 2 x 2 x 2 x 3 x 5 x 7 x 281

Step 4: Therefore, the least common multiple of 840 and 843 is 236040.