Least Common Multiple of 846 and 853

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 853 the smallest integer that is 721638 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 853 is 721638.

LCM(846,853) = 721638

LCM of 846 and 853

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

LCM of:
and

Least Common Multiple of 846 and 853

LCM of 846 and 853 is 721638

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 853. First we will calculate the prime factors of 846 and 853.

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 853


853 853
1

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 846 and 853.

LCM(846,853) = 21×32×471×8531
LCM(846,853) = 721638

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 853

List of positive integer factors of 853 that divides 853 without a remainder.

1, 853

Least Common Multiple of 846 and 853 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 853, than apply into the LCM equation.

GCF(846,853) = 1
LCM(846,853) = ( 846 × 853) / 1
LCM(846,853) = 721638 / 1
LCM(846,853) = 721638

Properties of LCM 846 and 853

(i) The LCM of 853 and 846 is associative

LCM of 846 and 853 = LCM of 853 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 853

Frequently Asked Questions on LCM of 846 and 853

1. What is the LCM of 846 and 853?

Answer: LCM of 846 and 853 is 721638.

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 853?

Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.

4. How to Find the LCM of 846 and 853?

Answer:

Least Common Multiple of 846 and 853 = 721638

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 853

853 = 853

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

LCM = 721638 = 2 x 3 x 3 x 47 x 853

Step 4: Therefore, the least common multiple of 846 and 853 is 721638.