Least Common Multiple of 4313 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 4313 and 4318 the smallest integer that is 18623534 that is divisible by both numbers.

Least Common Multiple (LCM) of 4313 and 4318 is 18623534.

LCM(4313,4318) = 18623534

LCM of 4313 and 4318

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

LCM of:
and

Least Common Multiple of 4313 and 4318

LCM of 4313 and 4318 is 18623534

Least common multiple can be found by multiplying the highest exponent prime factors of 4313 and 4318. First we will calculate the prime factors of 4313 and 4318.

Prime Factorization of 4313


19 4313
227 227
1

Prime factors of 4313 are 19,227. Prime factorization of 4313 in exponential form is:

4313 = 191×2271

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 4313 and 4318.

LCM(4313,4318) = 21×171×191×1271×2271
LCM(4313,4318) = 18623534

Factors of 4313

List of positive integer factors of 4313 that divides 4313 without a remainder.

1, 19, 227, 4313

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 4313 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 4313 and 4318, than apply into the LCM equation.

GCF(4313,4318) = 1
LCM(4313,4318) = ( 4313 × 4318) / 1
LCM(4313,4318) = 18623534 / 1
LCM(4313,4318) = 18623534

Properties of LCM 4313 and 4318

(i) The LCM of 4318 and 4313 is associative

LCM of 4313 and 4318 = LCM of 4318 and 4313

Related Least Common Multiples of 4313

Related Least Common Multiples of 4318

Frequently Asked Questions on LCM of 4313 and 4318

1. What is the LCM of 4313 and 4318?

Answer: LCM of 4313 and 4318 is 18623534.

2. What are the Factors of 4313?

Answer: Factors of 4313 are 1, 19, 227, 4313. There are 4 integers that are factors of 4313. The greatest factor of 4313 is 4313.

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 4313 and 4318?

Answer:

Least Common Multiple of 4313 and 4318 = 18623534

Step 1: Find the prime factorization of 4313

4313 = 19 x 227

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 = 18623534 = 2 x 17 x 19 x 127 x 227

Step 4: Therefore, the least common multiple of 4313 and 4318 is 18623534.