Least Common Multiple of 4310 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 4310 and 4316 the smallest integer that is 9300980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4310 and 4316 is 9300980.

LCM(4310,4316) = 9300980

LCM of 4310 and 4316

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

LCM of:
and

Least Common Multiple of 4310 and 4316

LCM of 4310 and 4316 is 9300980

Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4316. First we will calculate the prime factors of 4310 and 4316.

Prime Factorization of 4310


2 4310
5 2155
431 431
1

Prime factors of 4310 are 2, 5,431. Prime factorization of 4310 in exponential form is:

4310 = 21×51×4311

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 4310 and 4316.

LCM(4310,4316) = 22×51×131×831×4311
LCM(4310,4316) = 9300980

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1, 2, 5, 10, 431, 862, 2155, 4310

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 4310 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 4310 and 4316, than apply into the LCM equation.

GCF(4310,4316) = 2
LCM(4310,4316) = ( 4310 × 4316) / 2
LCM(4310,4316) = 18601960 / 2
LCM(4310,4316) = 9300980

Properties of LCM 4310 and 4316

(i) The LCM of 4316 and 4310 is associative

LCM of 4310 and 4316 = LCM of 4316 and 4310

Related Least Common Multiples of 4310

Related Least Common Multiples of 4316

Frequently Asked Questions on LCM of 4310 and 4316

1. What is the LCM of 4310 and 4316?

Answer: LCM of 4310 and 4316 is 9300980.

2. What are the Factors of 4310?

Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.

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 4310 and 4316?

Answer:

Least Common Multiple of 4310 and 4316 = 9300980

Step 1: Find the prime factorization of 4310

4310 = 2 x 5 x 431

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 = 9300980 = 2 x 2 x 5 x 13 x 83 x 431

Step 4: Therefore, the least common multiple of 4310 and 4316 is 9300980.