Least Common Multiple of 4353 and 4360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4353 and 4360 the smallest integer that is 18979080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4353 and 4360 is 18979080.

LCM(4353,4360) = 18979080

LCM of 4353 and 4360

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

LCM of:
and

Least Common Multiple of 4353 and 4360

LCM of 4353 and 4360 is 18979080

Least common multiple can be found by multiplying the highest exponent prime factors of 4353 and 4360. First we will calculate the prime factors of 4353 and 4360.

Prime Factorization of 4353


3 4353
1451 1451
1

Prime factors of 4353 are 3,1451. Prime factorization of 4353 in exponential form is:

4353 = 31×14511

Prime Factorization of 4360


2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 4360 are 2, 5,109. Prime factorization of 4360 in exponential form is:

4360 = 23×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4353 and 4360.

LCM(4353,4360) = 23×31×51×1091×14511
LCM(4353,4360) = 18979080

Factors of 4353

List of positive integer factors of 4353 that divides 4353 without a remainder.

1, 3, 1451, 4353

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360

Least Common Multiple of 4353 and 4360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4353 and 4360, than apply into the LCM equation.

GCF(4353,4360) = 1
LCM(4353,4360) = ( 4353 × 4360) / 1
LCM(4353,4360) = 18979080 / 1
LCM(4353,4360) = 18979080

Properties of LCM 4353 and 4360

(i) The LCM of 4360 and 4353 is associative

LCM of 4353 and 4360 = LCM of 4360 and 4353

Related Least Common Multiples of 4353

Related Least Common Multiples of 4360

Frequently Asked Questions on LCM of 4353 and 4360

1. What is the LCM of 4353 and 4360?

Answer: LCM of 4353 and 4360 is 18979080.

2. What are the Factors of 4353?

Answer: Factors of 4353 are 1, 3, 1451, 4353. There are 4 integers that are factors of 4353. The greatest factor of 4353 is 4353.

3. What are the Factors of 4360?

Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.

4. How to Find the LCM of 4353 and 4360?

Answer:

Least Common Multiple of 4353 and 4360 = 18979080

Step 1: Find the prime factorization of 4353

4353 = 3 x 1451

Step 2: Find the prime factorization of 4360

4360 = 2 x 2 x 2 x 5 x 109

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

LCM = 18979080 = 2 x 2 x 2 x 3 x 5 x 109 x 1451

Step 4: Therefore, the least common multiple of 4353 and 4360 is 18979080.