Least Common Multiple of 4306 and 4313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4306 and 4313 the smallest integer that is 18571778 that is divisible by both numbers.

Least Common Multiple (LCM) of 4306 and 4313 is 18571778.

LCM(4306,4313) = 18571778

LCM of 4306 and 4313

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

LCM of:
and

Least Common Multiple of 4306 and 4313

LCM of 4306 and 4313 is 18571778

Least common multiple can be found by multiplying the highest exponent prime factors of 4306 and 4313. First we will calculate the prime factors of 4306 and 4313.

Prime Factorization of 4306


2 4306
2153 2153
1

Prime factors of 4306 are 2,2153. Prime factorization of 4306 in exponential form is:

4306 = 21×21531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4306 and 4313.

LCM(4306,4313) = 21×191×2271×21531
LCM(4306,4313) = 18571778

Factors of 4306

List of positive integer factors of 4306 that divides 4306 without a remainder.

1, 2, 2153, 4306

Factors of 4313

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

1, 19, 227, 4313

Least Common Multiple of 4306 and 4313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4306 and 4313, than apply into the LCM equation.

GCF(4306,4313) = 1
LCM(4306,4313) = ( 4306 × 4313) / 1
LCM(4306,4313) = 18571778 / 1
LCM(4306,4313) = 18571778

Properties of LCM 4306 and 4313

(i) The LCM of 4313 and 4306 is associative

LCM of 4306 and 4313 = LCM of 4313 and 4306

Related Least Common Multiples of 4306

Related Least Common Multiples of 4313

Frequently Asked Questions on LCM of 4306 and 4313

1. What is the LCM of 4306 and 4313?

Answer: LCM of 4306 and 4313 is 18571778.

2. What are the Factors of 4306?

Answer: Factors of 4306 are 1, 2, 2153, 4306. There are 4 integers that are factors of 4306. The greatest factor of 4306 is 4306.

3. 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.

4. How to Find the LCM of 4306 and 4313?

Answer:

Least Common Multiple of 4306 and 4313 = 18571778

Step 1: Find the prime factorization of 4306

4306 = 2 x 2153

Step 2: Find the prime factorization of 4313

4313 = 19 x 227

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

LCM = 18571778 = 2 x 19 x 227 x 2153

Step 4: Therefore, the least common multiple of 4306 and 4313 is 18571778.