Least Common Multiple of 4311 and 4316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4311 and 4316 the smallest integer that is 18606276 that is divisible by both numbers.

Least Common Multiple (LCM) of 4311 and 4316 is 18606276.

LCM(4311,4316) = 18606276

LCM of 4311 and 4316

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

LCM of:
and

Least Common Multiple of 4311 and 4316

LCM of 4311 and 4316 is 18606276

Least common multiple can be found by multiplying the highest exponent prime factors of 4311 and 4316. First we will calculate the prime factors of 4311 and 4316.

Prime Factorization of 4311


3 4311
3 1437
479 479
1

Prime factors of 4311 are 3,479. Prime factorization of 4311 in exponential form is:

4311 = 32×4791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4311 and 4316.

LCM(4311,4316) = 22×32×131×831×4791
LCM(4311,4316) = 18606276

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1, 3, 9, 479, 1437, 4311

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

Least Common Multiple of 4311 and 4316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4311 and 4316, than apply into the LCM equation.

GCF(4311,4316) = 1
LCM(4311,4316) = ( 4311 × 4316) / 1
LCM(4311,4316) = 18606276 / 1
LCM(4311,4316) = 18606276

Properties of LCM 4311 and 4316

(i) The LCM of 4316 and 4311 is associative

LCM of 4311 and 4316 = LCM of 4316 and 4311

Related Least Common Multiples of 4311

Related Least Common Multiples of 4316

Frequently Asked Questions on LCM of 4311 and 4316

1. What is the LCM of 4311 and 4316?

Answer: LCM of 4311 and 4316 is 18606276.

2. What are the Factors of 4311?

Answer: Factors of 4311 are 1, 3, 9, 479, 1437, 4311. There are 6 integers that are factors of 4311. The greatest factor of 4311 is 4311.

3. 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.

4. How to Find the LCM of 4311 and 4316?

Answer:

Least Common Multiple of 4311 and 4316 = 18606276

Step 1: Find the prime factorization of 4311

4311 = 3 x 3 x 479

Step 2: Find the prime factorization of 4316

4316 = 2 x 2 x 13 x 83

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

LCM = 18606276 = 2 x 2 x 3 x 3 x 13 x 83 x 479

Step 4: Therefore, the least common multiple of 4311 and 4316 is 18606276.