Least Common Multiple of 833 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 833 and 840 the smallest integer that is 99960 that is divisible by both numbers.

Least Common Multiple (LCM) of 833 and 840 is 99960.

LCM(833,840) = 99960

LCM of 833 and 840

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

LCM of:
and

Least Common Multiple of 833 and 840

LCM of 833 and 840 is 99960

Least common multiple can be found by multiplying the highest exponent prime factors of 833 and 840. First we will calculate the prime factors of 833 and 840.

Prime Factorization of 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

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 833 and 840.

LCM(833,840) = 23×31×51×72×171
LCM(833,840) = 99960

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

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 833 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 833 and 840, than apply into the LCM equation.

GCF(833,840) = 7
LCM(833,840) = ( 833 × 840) / 7
LCM(833,840) = 699720 / 7
LCM(833,840) = 99960

Properties of LCM 833 and 840

(i) The LCM of 840 and 833 is associative

LCM of 833 and 840 = LCM of 840 and 833

Related Least Common Multiples of 833

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 833 and 840

1. What is the LCM of 833 and 840?

Answer: LCM of 833 and 840 is 99960.

2. What are the Factors of 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

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 833 and 840?

Answer:

Least Common Multiple of 833 and 840 = 99960

Step 1: Find the prime factorization of 833

833 = 7 x 7 x 17

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 = 99960 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 833 and 840 is 99960.