Least Common Multiple of 4310 and 4318

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 4318 the smallest integer that is 9305290 that is divisible by both numbers.

Least Common Multiple (LCM) of 4310 and 4318 is 9305290.

LCM(4310,4318) = 9305290

LCM of 4310 and 4318

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

LCM of:
and

Least Common Multiple of 4310 and 4318

LCM of 4310 and 4318 is 9305290

Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4318. First we will calculate the prime factors of 4310 and 4318.

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 4318


2 4318
17 2159
127 127
1

Prime factors of 4318 are 2, 17,127. Prime factorization of 4318 in exponential form is:

4318 = 21×171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4310 and 4318.

LCM(4310,4318) = 21×51×171×1271×4311
LCM(4310,4318) = 9305290

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 4318

List of positive integer factors of 4318 that divides 4318 without a remainder.

1, 2, 17, 34, 127, 254, 2159, 4318

Least Common Multiple of 4310 and 4318 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 4318, than apply into the LCM equation.

GCF(4310,4318) = 2
LCM(4310,4318) = ( 4310 × 4318) / 2
LCM(4310,4318) = 18610580 / 2
LCM(4310,4318) = 9305290

Properties of LCM 4310 and 4318

(i) The LCM of 4318 and 4310 is associative

LCM of 4310 and 4318 = LCM of 4318 and 4310

Related Least Common Multiples of 4310

Related Least Common Multiples of 4318

Frequently Asked Questions on LCM of 4310 and 4318

1. What is the LCM of 4310 and 4318?

Answer: LCM of 4310 and 4318 is 9305290.

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 4318?

Answer: Factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318. There are 8 integers that are factors of 4318. The greatest factor of 4318 is 4318.

4. How to Find the LCM of 4310 and 4318?

Answer:

Least Common Multiple of 4310 and 4318 = 9305290

Step 1: Find the prime factorization of 4310

4310 = 2 x 5 x 431

Step 2: Find the prime factorization of 4318

4318 = 2 x 17 x 127

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

LCM = 9305290 = 2 x 5 x 17 x 127 x 431

Step 4: Therefore, the least common multiple of 4310 and 4318 is 9305290.