Least Common Multiple of 4356 and 4363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4356 and 4363 the smallest integer that is 19005228 that is divisible by both numbers.

Least Common Multiple (LCM) of 4356 and 4363 is 19005228.

LCM(4356,4363) = 19005228

LCM of 4356 and 4363

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

LCM of:
and

Least Common Multiple of 4356 and 4363

LCM of 4356 and 4363 is 19005228

Least common multiple can be found by multiplying the highest exponent prime factors of 4356 and 4363. First we will calculate the prime factors of 4356 and 4363.

Prime Factorization of 4356


2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 4356 are 2, 3,11. Prime factorization of 4356 in exponential form is:

4356 = 22×32×112

Prime Factorization of 4363


4363 4363
1

Prime factors of 4363 are 4363. Prime factorization of 4363 in exponential form is:

4363 = 43631

Now multiplying the highest exponent prime factors to calculate the LCM of 4356 and 4363.

LCM(4356,4363) = 22×32×112×43631
LCM(4356,4363) = 19005228

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356

Factors of 4363

List of positive integer factors of 4363 that divides 4363 without a remainder.

1, 4363

Least Common Multiple of 4356 and 4363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4356 and 4363, than apply into the LCM equation.

GCF(4356,4363) = 1
LCM(4356,4363) = ( 4356 × 4363) / 1
LCM(4356,4363) = 19005228 / 1
LCM(4356,4363) = 19005228

Properties of LCM 4356 and 4363

(i) The LCM of 4363 and 4356 is associative

LCM of 4356 and 4363 = LCM of 4363 and 4356

Related Least Common Multiples of 4356

Related Least Common Multiples of 4363

Frequently Asked Questions on LCM of 4356 and 4363

1. What is the LCM of 4356 and 4363?

Answer: LCM of 4356 and 4363 is 19005228.

2. What are the Factors of 4356?

Answer: Factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356. There are 27 integers that are factors of 4356. The greatest factor of 4356 is 4356.

3. What are the Factors of 4363?

Answer: Factors of 4363 are 1, 4363. There are 2 integers that are factors of 4363. The greatest factor of 4363 is 4363.

4. How to Find the LCM of 4356 and 4363?

Answer:

Least Common Multiple of 4356 and 4363 = 19005228

Step 1: Find the prime factorization of 4356

4356 = 2 x 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 4363

4363 = 4363

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

LCM = 19005228 = 2 x 2 x 3 x 3 x 11 x 11 x 4363

Step 4: Therefore, the least common multiple of 4356 and 4363 is 19005228.