Least Common Multiple of 4296 and 4299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4296 and 4299 the smallest integer that is 6156168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4296 and 4299 is 6156168.

LCM(4296,4299) = 6156168

LCM of 4296 and 4299

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

LCM of:
and

Least Common Multiple of 4296 and 4299

LCM of 4296 and 4299 is 6156168

Least common multiple can be found by multiplying the highest exponent prime factors of 4296 and 4299. First we will calculate the prime factors of 4296 and 4299.

Prime Factorization of 4296


2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 4296 are 2, 3,179. Prime factorization of 4296 in exponential form is:

4296 = 23×31×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4296 and 4299.

LCM(4296,4299) = 23×31×1791×14331
LCM(4296,4299) = 6156168

Factors of 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296

Factors of 4299

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

1, 3, 1433, 4299

Least Common Multiple of 4296 and 4299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4296 and 4299, than apply into the LCM equation.

GCF(4296,4299) = 3
LCM(4296,4299) = ( 4296 × 4299) / 3
LCM(4296,4299) = 18468504 / 3
LCM(4296,4299) = 6156168

Properties of LCM 4296 and 4299

(i) The LCM of 4299 and 4296 is associative

LCM of 4296 and 4299 = LCM of 4299 and 4296

Related Least Common Multiples of 4296

Related Least Common Multiples of 4299

Frequently Asked Questions on LCM of 4296 and 4299

1. What is the LCM of 4296 and 4299?

Answer: LCM of 4296 and 4299 is 6156168.

2. What are the Factors of 4296?

Answer: Factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296. There are 16 integers that are factors of 4296. The greatest factor of 4296 is 4296.

3. 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.

4. How to Find the LCM of 4296 and 4299?

Answer:

Least Common Multiple of 4296 and 4299 = 6156168

Step 1: Find the prime factorization of 4296

4296 = 2 x 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 4299

4299 = 3 x 1433

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

LCM = 6156168 = 2 x 2 x 2 x 3 x 179 x 1433

Step 4: Therefore, the least common multiple of 4296 and 4299 is 6156168.