Least Common Multiple of 4346 and 4350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4346 and 4350 the smallest integer that is 9452550 that is divisible by both numbers.

Least Common Multiple (LCM) of 4346 and 4350 is 9452550.

LCM(4346,4350) = 9452550

LCM of 4346 and 4350

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

LCM of:
and

Least Common Multiple of 4346 and 4350

LCM of 4346 and 4350 is 9452550

Least common multiple can be found by multiplying the highest exponent prime factors of 4346 and 4350. First we will calculate the prime factors of 4346 and 4350.

Prime Factorization of 4346


2 4346
41 2173
53 53
1

Prime factors of 4346 are 2, 41,53. Prime factorization of 4346 in exponential form is:

4346 = 21×411×531

Prime Factorization of 4350


2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 4350 are 2, 3, 5,29. Prime factorization of 4350 in exponential form is:

4350 = 21×31×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4346 and 4350.

LCM(4346,4350) = 21×31×52×291×411×531
LCM(4346,4350) = 9452550

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1, 2, 41, 53, 82, 106, 2173, 4346

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350

Least Common Multiple of 4346 and 4350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4346 and 4350, than apply into the LCM equation.

GCF(4346,4350) = 2
LCM(4346,4350) = ( 4346 × 4350) / 2
LCM(4346,4350) = 18905100 / 2
LCM(4346,4350) = 9452550

Properties of LCM 4346 and 4350

(i) The LCM of 4350 and 4346 is associative

LCM of 4346 and 4350 = LCM of 4350 and 4346

Related Least Common Multiples of 4346

Related Least Common Multiples of 4350

Frequently Asked Questions on LCM of 4346 and 4350

1. What is the LCM of 4346 and 4350?

Answer: LCM of 4346 and 4350 is 9452550.

2. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

3. What are the Factors of 4350?

Answer: Factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350. There are 24 integers that are factors of 4350. The greatest factor of 4350 is 4350.

4. How to Find the LCM of 4346 and 4350?

Answer:

Least Common Multiple of 4346 and 4350 = 9452550

Step 1: Find the prime factorization of 4346

4346 = 2 x 41 x 53

Step 2: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

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

LCM = 9452550 = 2 x 3 x 5 x 5 x 29 x 41 x 53

Step 4: Therefore, the least common multiple of 4346 and 4350 is 9452550.