Least Common Multiple of 12850 and 12857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12850 and 12857 the smallest integer that is 165212450 that is divisible by both numbers.

Least Common Multiple (LCM) of 12850 and 12857 is 165212450.

LCM(12850,12857) = 165212450

LCM of 12850 and 12857

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

LCM of:
and

Least Common Multiple of 12850 and 12857

LCM of 12850 and 12857 is 165212450

Least common multiple can be found by multiplying the highest exponent prime factors of 12850 and 12857. First we will calculate the prime factors of 12850 and 12857.

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

Prime Factorization of 12857


13 12857
23 989
43 43
1

Prime factors of 12857 are 13, 23,43. Prime factorization of 12857 in exponential form is:

12857 = 131×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 12850 and 12857.

LCM(12850,12857) = 21×52×131×231×431×2571
LCM(12850,12857) = 165212450

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

Factors of 12857

List of positive integer factors of 12857 that divides 12857 without a remainder.

1, 13, 23, 43, 299, 559, 989, 12857

Least Common Multiple of 12850 and 12857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12850 and 12857, than apply into the LCM equation.

GCF(12850,12857) = 1
LCM(12850,12857) = ( 12850 × 12857) / 1
LCM(12850,12857) = 165212450 / 1
LCM(12850,12857) = 165212450

Properties of LCM 12850 and 12857

(i) The LCM of 12857 and 12850 is associative

LCM of 12850 and 12857 = LCM of 12857 and 12850

Related Least Common Multiples of 12850

Related Least Common Multiples of 12857

Frequently Asked Questions on LCM of 12850 and 12857

1. What is the LCM of 12850 and 12857?

Answer: LCM of 12850 and 12857 is 165212450.

2. 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.

3. What are the Factors of 12857?

Answer: Factors of 12857 are 1, 13, 23, 43, 299, 559, 989, 12857. There are 8 integers that are factors of 12857. The greatest factor of 12857 is 12857.

4. How to Find the LCM of 12850 and 12857?

Answer:

Least Common Multiple of 12850 and 12857 = 165212450

Step 1: Find the prime factorization of 12850

12850 = 2 x 5 x 5 x 257

Step 2: Find the prime factorization of 12857

12857 = 13 x 23 x 43

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

LCM = 165212450 = 2 x 5 x 5 x 13 x 23 x 43 x 257

Step 4: Therefore, the least common multiple of 12850 and 12857 is 165212450.