Least Common Multiple of 12846 and 12850

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 12850 the smallest integer that is 82535550 that is divisible by both numbers.

Least Common Multiple (LCM) of 12846 and 12850 is 82535550.

LCM(12846,12850) = 82535550

LCM of 12846 and 12850

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

LCM of:
and

Least Common Multiple of 12846 and 12850

LCM of 12846 and 12850 is 82535550

Least common multiple can be found by multiplying the highest exponent prime factors of 12846 and 12850. First we will calculate the prime factors of 12846 and 12850.

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 12850


2 12850
5 6425
5 1285
257 257
1

Prime factors of 12850 are 2, 5,257. Prime factorization of 12850 in exponential form is:

12850 = 21×52×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 12846 and 12850.

LCM(12846,12850) = 21×31×52×2571×21411
LCM(12846,12850) = 82535550

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 12850

List of positive integer factors of 12850 that divides 12850 without a remainder.

1, 2, 5, 10, 25, 50, 257, 514, 1285, 2570, 6425, 12850

Least Common Multiple of 12846 and 12850 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 12850, than apply into the LCM equation.

GCF(12846,12850) = 2
LCM(12846,12850) = ( 12846 × 12850) / 2
LCM(12846,12850) = 165071100 / 2
LCM(12846,12850) = 82535550

Properties of LCM 12846 and 12850

(i) The LCM of 12850 and 12846 is associative

LCM of 12846 and 12850 = LCM of 12850 and 12846

Related Least Common Multiples of 12846

Related Least Common Multiples of 12850

Frequently Asked Questions on LCM of 12846 and 12850

1. What is the LCM of 12846 and 12850?

Answer: LCM of 12846 and 12850 is 82535550.

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 12850?

Answer: Factors of 12850 are 1, 2, 5, 10, 25, 50, 257, 514, 1285, 2570, 6425, 12850. There are 12 integers that are factors of 12850. The greatest factor of 12850 is 12850.

4. How to Find the LCM of 12846 and 12850?

Answer:

Least Common Multiple of 12846 and 12850 = 82535550

Step 1: Find the prime factorization of 12846

12846 = 2 x 3 x 2141

Step 2: Find the prime factorization of 12850

12850 = 2 x 5 x 5 x 257

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

LCM = 82535550 = 2 x 3 x 5 x 5 x 257 x 2141

Step 4: Therefore, the least common multiple of 12846 and 12850 is 82535550.