Least Common Multiple of 839 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 839 and 840 the smallest integer that is 704760 that is divisible by both numbers.

Least Common Multiple (LCM) of 839 and 840 is 704760.

LCM(839,840) = 704760

LCM of 839 and 840

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

LCM of:
and

Least Common Multiple of 839 and 840

LCM of 839 and 840 is 704760

Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 840. First we will calculate the prime factors of 839 and 840.

Prime Factorization of 839


839 839
1

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 8391

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 839 and 840.

LCM(839,840) = 23×31×51×71×8391
LCM(839,840) = 704760

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1, 839

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 839 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 839 and 840, than apply into the LCM equation.

GCF(839,840) = 1
LCM(839,840) = ( 839 × 840) / 1
LCM(839,840) = 704760 / 1
LCM(839,840) = 704760

Properties of LCM 839 and 840

(i) The LCM of 840 and 839 is associative

LCM of 839 and 840 = LCM of 840 and 839

Related Least Common Multiples of 839

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 839 and 840

1. What is the LCM of 839 and 840?

Answer: LCM of 839 and 840 is 704760.

2. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

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 839 and 840?

Answer:

Least Common Multiple of 839 and 840 = 704760

Step 1: Find the prime factorization of 839

839 = 839

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 = 704760 = 2 x 2 x 2 x 3 x 5 x 7 x 839

Step 4: Therefore, the least common multiple of 839 and 840 is 704760.