Least Common Multiple of 4352 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 4352 and 4359 the smallest integer that is 18970368 that is divisible by both numbers.

Least Common Multiple (LCM) of 4352 and 4359 is 18970368.

LCM(4352,4359) = 18970368

LCM of 4352 and 4359

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

LCM of:
and

Least Common Multiple of 4352 and 4359

LCM of 4352 and 4359 is 18970368

Least common multiple can be found by multiplying the highest exponent prime factors of 4352 and 4359. First we will calculate the prime factors of 4352 and 4359.

Prime Factorization of 4352


2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 4352 are 2,17. Prime factorization of 4352 in exponential form is:

4352 = 28×171

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 4352 and 4359.

LCM(4352,4359) = 28×31×171×14531
LCM(4352,4359) = 18970368

Factors of 4352

List of positive integer factors of 4352 that divides 4352 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352

Factors of 4359

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

1, 3, 1453, 4359

Least Common Multiple of 4352 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 4352 and 4359, than apply into the LCM equation.

GCF(4352,4359) = 1
LCM(4352,4359) = ( 4352 × 4359) / 1
LCM(4352,4359) = 18970368 / 1
LCM(4352,4359) = 18970368

Properties of LCM 4352 and 4359

(i) The LCM of 4359 and 4352 is associative

LCM of 4352 and 4359 = LCM of 4359 and 4352

Related Least Common Multiples of 4352

Related Least Common Multiples of 4359

Frequently Asked Questions on LCM of 4352 and 4359

1. What is the LCM of 4352 and 4359?

Answer: LCM of 4352 and 4359 is 18970368.

2. What are the Factors of 4352?

Answer: Factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. There are 18 integers that are factors of 4352. The greatest factor of 4352 is 4352.

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 4352 and 4359?

Answer:

Least Common Multiple of 4352 and 4359 = 18970368

Step 1: Find the prime factorization of 4352

4352 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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 = 18970368 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 1453

Step 4: Therefore, the least common multiple of 4352 and 4359 is 18970368.