Least Common Multiple of 4299 and 4306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4299 and 4306 the smallest integer that is 18511494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4299 and 4306 is 18511494.

LCM(4299,4306) = 18511494

LCM of 4299 and 4306

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

LCM of:
and

Least Common Multiple of 4299 and 4306

LCM of 4299 and 4306 is 18511494

Least common multiple can be found by multiplying the highest exponent prime factors of 4299 and 4306. First we will calculate the prime factors of 4299 and 4306.

Prime Factorization of 4299


3 4299
1433 1433
1

Prime factors of 4299 are 3,1433. Prime factorization of 4299 in exponential form is:

4299 = 31×14331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4299 and 4306.

LCM(4299,4306) = 21×31×14331×21531
LCM(4299,4306) = 18511494

Factors of 4299

List of positive integer factors of 4299 that divides 4299 without a remainder.

1, 3, 1433, 4299

Factors of 4306

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

1, 2, 2153, 4306

Least Common Multiple of 4299 and 4306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4299 and 4306, than apply into the LCM equation.

GCF(4299,4306) = 1
LCM(4299,4306) = ( 4299 × 4306) / 1
LCM(4299,4306) = 18511494 / 1
LCM(4299,4306) = 18511494

Properties of LCM 4299 and 4306

(i) The LCM of 4306 and 4299 is associative

LCM of 4299 and 4306 = LCM of 4306 and 4299

Related Least Common Multiples of 4299

Related Least Common Multiples of 4306

Frequently Asked Questions on LCM of 4299 and 4306

1. What is the LCM of 4299 and 4306?

Answer: LCM of 4299 and 4306 is 18511494.

2. What are the Factors of 4299?

Answer: Factors of 4299 are 1, 3, 1433, 4299. There are 4 integers that are factors of 4299. The greatest factor of 4299 is 4299.

3. 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.

4. How to Find the LCM of 4299 and 4306?

Answer:

Least Common Multiple of 4299 and 4306 = 18511494

Step 1: Find the prime factorization of 4299

4299 = 3 x 1433

Step 2: Find the prime factorization of 4306

4306 = 2 x 2153

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

LCM = 18511494 = 2 x 3 x 1433 x 2153

Step 4: Therefore, the least common multiple of 4299 and 4306 is 18511494.