Least Common Multiple of 12350 and 12354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12350 and 12354 the smallest integer that is 76285950 that is divisible by both numbers.

Least Common Multiple (LCM) of 12350 and 12354 is 76285950.

LCM(12350,12354) = 76285950

LCM of 12350 and 12354

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

LCM of:
and

Least Common Multiple of 12350 and 12354

LCM of 12350 and 12354 is 76285950

Least common multiple can be found by multiplying the highest exponent prime factors of 12350 and 12354. First we will calculate the prime factors of 12350 and 12354.

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

Prime Factorization of 12354


2 12354
3 6177
29 2059
71 71
1

Prime factors of 12354 are 2, 3, 29,71. Prime factorization of 12354 in exponential form is:

12354 = 21×31×291×711

Now multiplying the highest exponent prime factors to calculate the LCM of 12350 and 12354.

LCM(12350,12354) = 21×31×52×131×191×291×711
LCM(12350,12354) = 76285950

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

Factors of 12354

List of positive integer factors of 12354 that divides 12354 without a remainder.

1, 2, 3, 6, 29, 58, 71, 87, 142, 174, 213, 426, 2059, 4118, 6177, 12354

Least Common Multiple of 12350 and 12354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12350 and 12354, than apply into the LCM equation.

GCF(12350,12354) = 2
LCM(12350,12354) = ( 12350 × 12354) / 2
LCM(12350,12354) = 152571900 / 2
LCM(12350,12354) = 76285950

Properties of LCM 12350 and 12354

(i) The LCM of 12354 and 12350 is associative

LCM of 12350 and 12354 = LCM of 12354 and 12350

Related Least Common Multiples of 12350

Related Least Common Multiples of 12354

Frequently Asked Questions on LCM of 12350 and 12354

1. What is the LCM of 12350 and 12354?

Answer: LCM of 12350 and 12354 is 76285950.

2. 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.

3. What are the Factors of 12354?

Answer: Factors of 12354 are 1, 2, 3, 6, 29, 58, 71, 87, 142, 174, 213, 426, 2059, 4118, 6177, 12354. There are 16 integers that are factors of 12354. The greatest factor of 12354 is 12354.

4. How to Find the LCM of 12350 and 12354?

Answer:

Least Common Multiple of 12350 and 12354 = 76285950

Step 1: Find the prime factorization of 12350

12350 = 2 x 5 x 5 x 13 x 19

Step 2: Find the prime factorization of 12354

12354 = 2 x 3 x 29 x 71

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

LCM = 76285950 = 2 x 3 x 5 x 5 x 13 x 19 x 29 x 71

Step 4: Therefore, the least common multiple of 12350 and 12354 is 76285950.