Least Common Multiple of 840 and 846

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 846 the smallest integer that is 118440 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 846 is 118440.

LCM(840,846) = 118440

LCM of 840 and 846

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

LCM of:
and

Least Common Multiple of 840 and 846

LCM of 840 and 846 is 118440

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 846. First we will calculate the prime factors of 840 and 846.

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 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 846.

LCM(840,846) = 23×32×51×71×471
LCM(840,846) = 118440

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 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Least Common Multiple of 840 and 846 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 846, than apply into the LCM equation.

GCF(840,846) = 6
LCM(840,846) = ( 840 × 846) / 6
LCM(840,846) = 710640 / 6
LCM(840,846) = 118440

Properties of LCM 840 and 846

(i) The LCM of 846 and 840 is associative

LCM of 840 and 846 = LCM of 846 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 846

Frequently Asked Questions on LCM of 840 and 846

1. What is the LCM of 840 and 846?

Answer: LCM of 840 and 846 is 118440.

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 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

4. How to Find the LCM of 840 and 846?

Answer:

Least Common Multiple of 840 and 846 = 118440

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 846

846 = 2 x 3 x 3 x 47

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

LCM = 118440 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 47

Step 4: Therefore, the least common multiple of 840 and 846 is 118440.