Least Common Multiple of 4354 and 4359

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 4359 the smallest integer that is 18979086 that is divisible by both numbers.

Least Common Multiple (LCM) of 4354 and 4359 is 18979086.

LCM(4354,4359) = 18979086

LCM of 4354 and 4359

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

LCM of:
and

Least Common Multiple of 4354 and 4359

LCM of 4354 and 4359 is 18979086

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4359. First we will calculate the prime factors of 4354 and 4359.

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 4359


3 4359
1453 1453
1

Prime factors of 4359 are 3,1453. Prime factorization of 4359 in exponential form is:

4359 = 31×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4359.

LCM(4354,4359) = 21×31×71×3111×14531
LCM(4354,4359) = 18979086

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 4359

List of positive integer factors of 4359 that divides 4359 without a remainder.

1, 3, 1453, 4359

Least Common Multiple of 4354 and 4359 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 4359, than apply into the LCM equation.

GCF(4354,4359) = 1
LCM(4354,4359) = ( 4354 × 4359) / 1
LCM(4354,4359) = 18979086 / 1
LCM(4354,4359) = 18979086

Properties of LCM 4354 and 4359

(i) The LCM of 4359 and 4354 is associative

LCM of 4354 and 4359 = LCM of 4359 and 4354

Related Least Common Multiples of 4354

Related Least Common Multiples of 4359

Frequently Asked Questions on LCM of 4354 and 4359

1. What is the LCM of 4354 and 4359?

Answer: LCM of 4354 and 4359 is 18979086.

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 4359?

Answer: Factors of 4359 are 1, 3, 1453, 4359. There are 4 integers that are factors of 4359. The greatest factor of 4359 is 4359.

4. How to Find the LCM of 4354 and 4359?

Answer:

Least Common Multiple of 4354 and 4359 = 18979086

Step 1: Find the prime factorization of 4354

4354 = 2 x 7 x 311

Step 2: Find the prime factorization of 4359

4359 = 3 x 1453

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

LCM = 18979086 = 2 x 3 x 7 x 311 x 1453

Step 4: Therefore, the least common multiple of 4354 and 4359 is 18979086.