Least Common Multiple of 4316 and 4320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4316 and 4320 the smallest integer that is 4661280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4316 and 4320 is 4661280.

LCM(4316,4320) = 4661280

LCM of 4316 and 4320

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

LCM of:
and

Least Common Multiple of 4316 and 4320

LCM of 4316 and 4320 is 4661280

Least common multiple can be found by multiplying the highest exponent prime factors of 4316 and 4320. First we will calculate the prime factors of 4316 and 4320.

Prime Factorization of 4316


2 4316
2 2158
13 1079
83 83
1

Prime factors of 4316 are 2, 13,83. Prime factorization of 4316 in exponential form is:

4316 = 22×131×831

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2, 3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 4316 and 4320.

LCM(4316,4320) = 25×33×51×131×831
LCM(4316,4320) = 4661280

Factors of 4316

List of positive integer factors of 4316 that divides 4316 without a remainder.

1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320

Least Common Multiple of 4316 and 4320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4316 and 4320, than apply into the LCM equation.

GCF(4316,4320) = 4
LCM(4316,4320) = ( 4316 × 4320) / 4
LCM(4316,4320) = 18645120 / 4
LCM(4316,4320) = 4661280

Properties of LCM 4316 and 4320

(i) The LCM of 4320 and 4316 is associative

LCM of 4316 and 4320 = LCM of 4320 and 4316

Related Least Common Multiples of 4316

Related Least Common Multiples of 4320

Frequently Asked Questions on LCM of 4316 and 4320

1. What is the LCM of 4316 and 4320?

Answer: LCM of 4316 and 4320 is 4661280.

2. What are the Factors of 4316?

Answer: Factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316. There are 12 integers that are factors of 4316. The greatest factor of 4316 is 4316.

3. What are the Factors of 4320?

Answer: Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

4. How to Find the LCM of 4316 and 4320?

Answer:

Least Common Multiple of 4316 and 4320 = 4661280

Step 1: Find the prime factorization of 4316

4316 = 2 x 2 x 13 x 83

Step 2: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

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

LCM = 4661280 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 4316 and 4320 is 4661280.