Least Common Multiple of 12851 and 12858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12851 and 12858 the smallest integer that is 165238158 that is divisible by both numbers.

Least Common Multiple (LCM) of 12851 and 12858 is 165238158.

LCM(12851,12858) = 165238158

LCM of 12851 and 12858

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

LCM of:
and

Least Common Multiple of 12851 and 12858

LCM of 12851 and 12858 is 165238158

Least common multiple can be found by multiplying the highest exponent prime factors of 12851 and 12858. First we will calculate the prime factors of 12851 and 12858.

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

Prime Factorization of 12858


2 12858
3 6429
2143 2143
1

Prime factors of 12858 are 2, 3,2143. Prime factorization of 12858 in exponential form is:

12858 = 21×31×21431

Now multiplying the highest exponent prime factors to calculate the LCM of 12851 and 12858.

LCM(12851,12858) = 21×31×711×1811×21431
LCM(12851,12858) = 165238158

Factors of 12851

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

1, 71, 181, 12851

Factors of 12858

List of positive integer factors of 12858 that divides 12858 without a remainder.

1, 2, 3, 6, 2143, 4286, 6429, 12858

Least Common Multiple of 12851 and 12858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12851 and 12858, than apply into the LCM equation.

GCF(12851,12858) = 1
LCM(12851,12858) = ( 12851 × 12858) / 1
LCM(12851,12858) = 165238158 / 1
LCM(12851,12858) = 165238158

Properties of LCM 12851 and 12858

(i) The LCM of 12858 and 12851 is associative

LCM of 12851 and 12858 = LCM of 12858 and 12851

Related Least Common Multiples of 12851

Related Least Common Multiples of 12858

Frequently Asked Questions on LCM of 12851 and 12858

1. What is the LCM of 12851 and 12858?

Answer: LCM of 12851 and 12858 is 165238158.

2. 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.

3. What are the Factors of 12858?

Answer: Factors of 12858 are 1, 2, 3, 6, 2143, 4286, 6429, 12858. There are 8 integers that are factors of 12858. The greatest factor of 12858 is 12858.

4. How to Find the LCM of 12851 and 12858?

Answer:

Least Common Multiple of 12851 and 12858 = 165238158

Step 1: Find the prime factorization of 12851

12851 = 71 x 181

Step 2: Find the prime factorization of 12858

12858 = 2 x 3 x 2143

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

LCM = 165238158 = 2 x 3 x 71 x 181 x 2143

Step 4: Therefore, the least common multiple of 12851 and 12858 is 165238158.