Least Common Multiple of 12342 and 12350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12342 and 12350 the smallest integer that is 76211850 that is divisible by both numbers.

Least Common Multiple (LCM) of 12342 and 12350 is 76211850.

LCM(12342,12350) = 76211850

LCM of 12342 and 12350

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

LCM of:
and

Least Common Multiple of 12342 and 12350

LCM of 12342 and 12350 is 76211850

Least common multiple can be found by multiplying the highest exponent prime factors of 12342 and 12350. First we will calculate the prime factors of 12342 and 12350.

Prime Factorization of 12342


2 12342
3 6171
11 2057
11 187
17 17
1

Prime factors of 12342 are 2, 3, 11,17. Prime factorization of 12342 in exponential form is:

12342 = 21×31×112×171

Prime Factorization of 12350


2 12350
5 6175
5 1235
13 247
19 19
1

Prime factors of 12350 are 2, 5, 13,19. Prime factorization of 12350 in exponential form is:

12350 = 21×52×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 12342 and 12350.

LCM(12342,12350) = 21×31×52×112×131×171×191
LCM(12342,12350) = 76211850

Factors of 12342

List of positive integer factors of 12342 that divides 12342 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 121, 187, 242, 363, 374, 561, 726, 1122, 2057, 4114, 6171, 12342

Factors of 12350

List of positive integer factors of 12350 that divides 12350 without a remainder.

1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 130, 190, 247, 325, 475, 494, 650, 950, 1235, 2470, 6175, 12350

Least Common Multiple of 12342 and 12350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12342 and 12350, than apply into the LCM equation.

GCF(12342,12350) = 2
LCM(12342,12350) = ( 12342 × 12350) / 2
LCM(12342,12350) = 152423700 / 2
LCM(12342,12350) = 76211850

Properties of LCM 12342 and 12350

(i) The LCM of 12350 and 12342 is associative

LCM of 12342 and 12350 = LCM of 12350 and 12342

Related Least Common Multiples of 12342

Related Least Common Multiples of 12350

Frequently Asked Questions on LCM of 12342 and 12350

1. What is the LCM of 12342 and 12350?

Answer: LCM of 12342 and 12350 is 76211850.

2. What are the Factors of 12342?

Answer: Factors of 12342 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 121, 187, 242, 363, 374, 561, 726, 1122, 2057, 4114, 6171, 12342. There are 24 integers that are factors of 12342. The greatest factor of 12342 is 12342.

3. What are the Factors of 12350?

Answer: Factors of 12350 are 1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 130, 190, 247, 325, 475, 494, 650, 950, 1235, 2470, 6175, 12350. There are 24 integers that are factors of 12350. The greatest factor of 12350 is 12350.

4. How to Find the LCM of 12342 and 12350?

Answer:

Least Common Multiple of 12342 and 12350 = 76211850

Step 1: Find the prime factorization of 12342

12342 = 2 x 3 x 11 x 11 x 17

Step 2: Find the prime factorization of 12350

12350 = 2 x 5 x 5 x 13 x 19

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

LCM = 76211850 = 2 x 3 x 5 x 5 x 11 x 11 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 12342 and 12350 is 76211850.