Least Common Multiple of 12850 and 12854

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 12854 the smallest integer that is 82586950 that is divisible by both numbers.

Least Common Multiple (LCM) of 12850 and 12854 is 82586950.

LCM(12850,12854) = 82586950

LCM of 12850 and 12854

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

LCM of:
and

Least Common Multiple of 12850 and 12854

LCM of 12850 and 12854 is 82586950

Least common multiple can be found by multiplying the highest exponent prime factors of 12850 and 12854. First we will calculate the prime factors of 12850 and 12854.

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 12854


2 12854
6427 6427
1

Prime factors of 12854 are 2,6427. Prime factorization of 12854 in exponential form is:

12854 = 21×64271

Now multiplying the highest exponent prime factors to calculate the LCM of 12850 and 12854.

LCM(12850,12854) = 21×52×2571×64271
LCM(12850,12854) = 82586950

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 12854

List of positive integer factors of 12854 that divides 12854 without a remainder.

1, 2, 6427, 12854

Least Common Multiple of 12850 and 12854 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 12854, than apply into the LCM equation.

GCF(12850,12854) = 2
LCM(12850,12854) = ( 12850 × 12854) / 2
LCM(12850,12854) = 165173900 / 2
LCM(12850,12854) = 82586950

Properties of LCM 12850 and 12854

(i) The LCM of 12854 and 12850 is associative

LCM of 12850 and 12854 = LCM of 12854 and 12850

Related Least Common Multiples of 12850

Related Least Common Multiples of 12854

Frequently Asked Questions on LCM of 12850 and 12854

1. What is the LCM of 12850 and 12854?

Answer: LCM of 12850 and 12854 is 82586950.

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 12854?

Answer: Factors of 12854 are 1, 2, 6427, 12854. There are 4 integers that are factors of 12854. The greatest factor of 12854 is 12854.

4. How to Find the LCM of 12850 and 12854?

Answer:

Least Common Multiple of 12850 and 12854 = 82586950

Step 1: Find the prime factorization of 12850

12850 = 2 x 5 x 5 x 257

Step 2: Find the prime factorization of 12854

12854 = 2 x 6427

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

LCM = 82586950 = 2 x 5 x 5 x 257 x 6427

Step 4: Therefore, the least common multiple of 12850 and 12854 is 82586950.