Least Common Multiple of 12846 and 12851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12846 and 12851 the smallest integer that is 165083946 that is divisible by both numbers.

Least Common Multiple (LCM) of 12846 and 12851 is 165083946.

LCM(12846,12851) = 165083946

LCM of 12846 and 12851

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

LCM of:
and

Least Common Multiple of 12846 and 12851

LCM of 12846 and 12851 is 165083946

Least common multiple can be found by multiplying the highest exponent prime factors of 12846 and 12851. First we will calculate the prime factors of 12846 and 12851.

Prime Factorization of 12846


2 12846
3 6423
2141 2141
1

Prime factors of 12846 are 2, 3,2141. Prime factorization of 12846 in exponential form is:

12846 = 21×31×21411

Prime Factorization of 12851


71 12851
181 181
1

Prime factors of 12851 are 71,181. Prime factorization of 12851 in exponential form is:

12851 = 711×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 12846 and 12851.

LCM(12846,12851) = 21×31×711×1811×21411
LCM(12846,12851) = 165083946

Factors of 12846

List of positive integer factors of 12846 that divides 12846 without a remainder.

1, 2, 3, 6, 2141, 4282, 6423, 12846

Factors of 12851

List of positive integer factors of 12851 that divides 12851 without a remainder.

1, 71, 181, 12851

Least Common Multiple of 12846 and 12851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12846 and 12851, than apply into the LCM equation.

GCF(12846,12851) = 1
LCM(12846,12851) = ( 12846 × 12851) / 1
LCM(12846,12851) = 165083946 / 1
LCM(12846,12851) = 165083946

Properties of LCM 12846 and 12851

(i) The LCM of 12851 and 12846 is associative

LCM of 12846 and 12851 = LCM of 12851 and 12846

Related Least Common Multiples of 12846

Related Least Common Multiples of 12851

Frequently Asked Questions on LCM of 12846 and 12851

1. What is the LCM of 12846 and 12851?

Answer: LCM of 12846 and 12851 is 165083946.

2. What are the Factors of 12846?

Answer: Factors of 12846 are 1, 2, 3, 6, 2141, 4282, 6423, 12846. There are 8 integers that are factors of 12846. The greatest factor of 12846 is 12846.

3. What are the Factors of 12851?

Answer: Factors of 12851 are 1, 71, 181, 12851. There are 4 integers that are factors of 12851. The greatest factor of 12851 is 12851.

4. How to Find the LCM of 12846 and 12851?

Answer:

Least Common Multiple of 12846 and 12851 = 165083946

Step 1: Find the prime factorization of 12846

12846 = 2 x 3 x 2141

Step 2: Find the prime factorization of 12851

12851 = 71 x 181

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

LCM = 165083946 = 2 x 3 x 71 x 181 x 2141

Step 4: Therefore, the least common multiple of 12846 and 12851 is 165083946.