Least Common Multiple of 836 and 840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 836 and 840 the smallest integer that is 175560 that is divisible by both numbers.

Least Common Multiple (LCM) of 836 and 840 is 175560.

LCM(836,840) = 175560

LCM of 836 and 840

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

LCM of:
and

Least Common Multiple of 836 and 840

LCM of 836 and 840 is 175560

Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 840. First we will calculate the prime factors of 836 and 840.

Prime Factorization of 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2, 11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 836 and 840.

LCM(836,840) = 23×31×51×71×111×191
LCM(836,840) = 175560

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

Least Common Multiple of 836 and 840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 836 and 840, than apply into the LCM equation.

GCF(836,840) = 4
LCM(836,840) = ( 836 × 840) / 4
LCM(836,840) = 702240 / 4
LCM(836,840) = 175560

Properties of LCM 836 and 840

(i) The LCM of 840 and 836 is associative

LCM of 836 and 840 = LCM of 840 and 836

Related Least Common Multiples of 836

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 836 and 840

1. What is the LCM of 836 and 840?

Answer: LCM of 836 and 840 is 175560.

2. What are the Factors of 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

3. 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.

4. How to Find the LCM of 836 and 840?

Answer:

Least Common Multiple of 836 and 840 = 175560

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 840

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

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

LCM = 175560 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 836 and 840 is 175560.