Least Common Multiple of 4296 and 4300

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 4300 the smallest integer that is 4618200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4296 and 4300 is 4618200.

LCM(4296,4300) = 4618200

LCM of 4296 and 4300

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

LCM of:
and

Least Common Multiple of 4296 and 4300

LCM of 4296 and 4300 is 4618200

Least common multiple can be found by multiplying the highest exponent prime factors of 4296 and 4300. First we will calculate the prime factors of 4296 and 4300.

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 4300


2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 4300 are 2, 5,43. Prime factorization of 4300 in exponential form is:

4300 = 22×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4296 and 4300.

LCM(4296,4300) = 23×31×52×431×1791
LCM(4296,4300) = 4618200

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 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300

Least Common Multiple of 4296 and 4300 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 4300, than apply into the LCM equation.

GCF(4296,4300) = 4
LCM(4296,4300) = ( 4296 × 4300) / 4
LCM(4296,4300) = 18472800 / 4
LCM(4296,4300) = 4618200

Properties of LCM 4296 and 4300

(i) The LCM of 4300 and 4296 is associative

LCM of 4296 and 4300 = LCM of 4300 and 4296

Related Least Common Multiples of 4296

Related Least Common Multiples of 4300

Frequently Asked Questions on LCM of 4296 and 4300

1. What is the LCM of 4296 and 4300?

Answer: LCM of 4296 and 4300 is 4618200.

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 4300?

Answer: Factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300. There are 18 integers that are factors of 4300. The greatest factor of 4300 is 4300.

4. How to Find the LCM of 4296 and 4300?

Answer:

Least Common Multiple of 4296 and 4300 = 4618200

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 4300

4300 = 2 x 2 x 5 x 5 x 43

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

LCM = 4618200 = 2 x 2 x 2 x 3 x 5 x 5 x 43 x 179

Step 4: Therefore, the least common multiple of 4296 and 4300 is 4618200.