Least Common Multiple of 4350 and 4354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4350 and 4354 the smallest integer that is 9469950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4350 and 4354 is 9469950.

LCM(4350,4354) = 9469950

LCM of 4350 and 4354

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

LCM of:
and

Least Common Multiple of 4350 and 4354

LCM of 4350 and 4354 is 9469950

Least common multiple can be found by multiplying the highest exponent prime factors of 4350 and 4354. First we will calculate the prime factors of 4350 and 4354.

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

Prime Factorization of 4354


2 4354
7 2177
311 311
1

Prime factors of 4354 are 2, 7,311. Prime factorization of 4354 in exponential form is:

4354 = 21×71×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4350 and 4354.

LCM(4350,4354) = 21×31×52×71×291×3111
LCM(4350,4354) = 9469950

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

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1, 2, 7, 14, 311, 622, 2177, 4354

Least Common Multiple of 4350 and 4354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4350 and 4354, than apply into the LCM equation.

GCF(4350,4354) = 2
LCM(4350,4354) = ( 4350 × 4354) / 2
LCM(4350,4354) = 18939900 / 2
LCM(4350,4354) = 9469950

Properties of LCM 4350 and 4354

(i) The LCM of 4354 and 4350 is associative

LCM of 4350 and 4354 = LCM of 4354 and 4350

Related Least Common Multiples of 4350

Related Least Common Multiples of 4354

Frequently Asked Questions on LCM of 4350 and 4354

1. What is the LCM of 4350 and 4354?

Answer: LCM of 4350 and 4354 is 9469950.

2. 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.

3. What are the Factors of 4354?

Answer: Factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354. There are 8 integers that are factors of 4354. The greatest factor of 4354 is 4354.

4. How to Find the LCM of 4350 and 4354?

Answer:

Least Common Multiple of 4350 and 4354 = 9469950

Step 1: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 4354

4354 = 2 x 7 x 311

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

LCM = 9469950 = 2 x 3 x 5 x 5 x 7 x 29 x 311

Step 4: Therefore, the least common multiple of 4350 and 4354 is 9469950.