Least Common Multiple of 4354 and 4358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4354 and 4358 the smallest integer that is 9487366 that is divisible by both numbers.

Least Common Multiple (LCM) of 4354 and 4358 is 9487366.

LCM(4354,4358) = 9487366

LCM of 4354 and 4358

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

LCM of:
and

Least Common Multiple of 4354 and 4358

LCM of 4354 and 4358 is 9487366

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4358. First we will calculate the prime factors of 4354 and 4358.

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

Prime Factorization of 4358


2 4358
2179 2179
1

Prime factors of 4358 are 2,2179. Prime factorization of 4358 in exponential form is:

4358 = 21×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4358.

LCM(4354,4358) = 21×71×3111×21791
LCM(4354,4358) = 9487366

Factors of 4354

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

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

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1, 2, 2179, 4358

Least Common Multiple of 4354 and 4358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4354 and 4358, than apply into the LCM equation.

GCF(4354,4358) = 2
LCM(4354,4358) = ( 4354 × 4358) / 2
LCM(4354,4358) = 18974732 / 2
LCM(4354,4358) = 9487366

Properties of LCM 4354 and 4358

(i) The LCM of 4358 and 4354 is associative

LCM of 4354 and 4358 = LCM of 4358 and 4354

Related Least Common Multiples of 4354

Related Least Common Multiples of 4358

Frequently Asked Questions on LCM of 4354 and 4358

1. What is the LCM of 4354 and 4358?

Answer: LCM of 4354 and 4358 is 9487366.

2. 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.

3. What are the Factors of 4358?

Answer: Factors of 4358 are 1, 2, 2179, 4358. There are 4 integers that are factors of 4358. The greatest factor of 4358 is 4358.

4. How to Find the LCM of 4354 and 4358?

Answer:

Least Common Multiple of 4354 and 4358 = 9487366

Step 1: Find the prime factorization of 4354

4354 = 2 x 7 x 311

Step 2: Find the prime factorization of 4358

4358 = 2 x 2179

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

LCM = 9487366 = 2 x 7 x 311 x 2179

Step 4: Therefore, the least common multiple of 4354 and 4358 is 9487366.