Least Common Multiple of 841 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 841 and 846 the smallest integer that is 711486 that is divisible by both numbers.

Least Common Multiple (LCM) of 841 and 846 is 711486.

LCM(841,846) = 711486

LCM of 841 and 846

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

LCM of:
and

Least Common Multiple of 841 and 846

LCM of 841 and 846 is 711486

Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 846. First we will calculate the prime factors of 841 and 846.

Prime Factorization of 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

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 841 and 846.

LCM(841,846) = 21×32×292×471
LCM(841,846) = 711486

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

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 841 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 841 and 846, than apply into the LCM equation.

GCF(841,846) = 1
LCM(841,846) = ( 841 × 846) / 1
LCM(841,846) = 711486 / 1
LCM(841,846) = 711486

Properties of LCM 841 and 846

(i) The LCM of 846 and 841 is associative

LCM of 841 and 846 = LCM of 846 and 841

Related Least Common Multiples of 841

Related Least Common Multiples of 846

Frequently Asked Questions on LCM of 841 and 846

1. What is the LCM of 841 and 846?

Answer: LCM of 841 and 846 is 711486.

2. What are the Factors of 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

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 841 and 846?

Answer:

Least Common Multiple of 841 and 846 = 711486

Step 1: Find the prime factorization of 841

841 = 29 x 29

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 = 711486 = 2 x 3 x 3 x 29 x 29 x 47

Step 4: Therefore, the least common multiple of 841 and 846 is 711486.