Least Common Multiple of 22400 and 22401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22400 and 22401 the smallest integer that is 501782400 that is divisible by both numbers.

Least Common Multiple (LCM) of 22400 and 22401 is 501782400.

LCM(22400,22401) = 501782400

LCM of 22400 and 22401

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

LCM of:
and

Least Common Multiple of 22400 and 22401

LCM of 22400 and 22401 is 501782400

Least common multiple can be found by multiplying the highest exponent prime factors of 22400 and 22401. First we will calculate the prime factors of 22400 and 22401.

Prime Factorization of 22400


2 22400
2 11200
2 5600
2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 22400 are 2, 5,7. Prime factorization of 22400 in exponential form is:

22400 = 27×52×71

Prime Factorization of 22401


3 22401
3 7467
19 2489
131 131
1

Prime factors of 22401 are 3, 19,131. Prime factorization of 22401 in exponential form is:

22401 = 32×191×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 22400 and 22401.

LCM(22400,22401) = 27×32×52×71×191×1311
LCM(22400,22401) = 501782400

Factors of 22400

List of positive integer factors of 22400 that divides 22400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 128, 140, 160, 175, 200, 224, 280, 320, 350, 400, 448, 560, 640, 700, 800, 896, 1120, 1400, 1600, 2240, 2800, 3200, 4480, 5600, 11200, 22400

Factors of 22401

List of positive integer factors of 22401 that divides 22401 without a remainder.

1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401

Least Common Multiple of 22400 and 22401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22400 and 22401, than apply into the LCM equation.

GCF(22400,22401) = 1
LCM(22400,22401) = ( 22400 × 22401) / 1
LCM(22400,22401) = 501782400 / 1
LCM(22400,22401) = 501782400

Properties of LCM 22400 and 22401

(i) The LCM of 22401 and 22400 is associative

LCM of 22400 and 22401 = LCM of 22401 and 22400

Related Least Common Multiples of 22400

Related Least Common Multiples of 22401

Frequently Asked Questions on LCM of 22400 and 22401

1. What is the LCM of 22400 and 22401?

Answer: LCM of 22400 and 22401 is 501782400.

2. What are the Factors of 22400?

Answer: Factors of 22400 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 128, 140, 160, 175, 200, 224, 280, 320, 350, 400, 448, 560, 640, 700, 800, 896, 1120, 1400, 1600, 2240, 2800, 3200, 4480, 5600, 11200, 22400. There are 48 integers that are factors of 22400. The greatest factor of 22400 is 22400.

3. What are the Factors of 22401?

Answer: Factors of 22401 are 1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401. There are 12 integers that are factors of 22401. The greatest factor of 22401 is 22401.

4. How to Find the LCM of 22400 and 22401?

Answer:

Least Common Multiple of 22400 and 22401 = 501782400

Step 1: Find the prime factorization of 22400

22400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 22401

22401 = 3 x 3 x 19 x 131

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

LCM = 501782400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 19 x 131

Step 4: Therefore, the least common multiple of 22400 and 22401 is 501782400.