Least Common Multiple of 846 and 854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 846 and 854 the smallest integer that is 361242 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 854 is 361242.

LCM(846,854) = 361242

LCM of 846 and 854

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

LCM of:
and

Least Common Multiple of 846 and 854

LCM of 846 and 854 is 361242

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 854. First we will calculate the prime factors of 846 and 854.

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

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 846 and 854.

LCM(846,854) = 21×32×71×471×611
LCM(846,854) = 361242

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

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Least Common Multiple of 846 and 854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 846 and 854, than apply into the LCM equation.

GCF(846,854) = 2
LCM(846,854) = ( 846 × 854) / 2
LCM(846,854) = 722484 / 2
LCM(846,854) = 361242

Properties of LCM 846 and 854

(i) The LCM of 854 and 846 is associative

LCM of 846 and 854 = LCM of 854 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 846 and 854

1. What is the LCM of 846 and 854?

Answer: LCM of 846 and 854 is 361242.

2. 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.

3. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

4. How to Find the LCM of 846 and 854?

Answer:

Least Common Multiple of 846 and 854 = 361242

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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

LCM = 361242 = 2 x 3 x 3 x 7 x 47 x 61

Step 4: Therefore, the least common multiple of 846 and 854 is 361242.