Least Common Multiple of 2200 and 2201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2200 and 2201 the smallest integer that is 4842200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2200 and 2201 is 4842200.

LCM(2200,2201) = 4842200

LCM of 2200 and 2201

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

LCM of:
and

Least Common Multiple of 2200 and 2201

LCM of 2200 and 2201 is 4842200

Least common multiple can be found by multiplying the highest exponent prime factors of 2200 and 2201. First we will calculate the prime factors of 2200 and 2201.

Prime Factorization of 2200


2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 2200 are 2, 5,11. Prime factorization of 2200 in exponential form is:

2200 = 23×52×111

Prime Factorization of 2201


31 2201
71 71
1

Prime factors of 2201 are 31,71. Prime factorization of 2201 in exponential form is:

2201 = 311×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2200 and 2201.

LCM(2200,2201) = 23×52×111×311×711
LCM(2200,2201) = 4842200

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200

Factors of 2201

List of positive integer factors of 2201 that divides 2201 without a remainder.

1, 31, 71, 2201

Least Common Multiple of 2200 and 2201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2200 and 2201, than apply into the LCM equation.

GCF(2200,2201) = 1
LCM(2200,2201) = ( 2200 × 2201) / 1
LCM(2200,2201) = 4842200 / 1
LCM(2200,2201) = 4842200

Properties of LCM 2200 and 2201

(i) The LCM of 2201 and 2200 is associative

LCM of 2200 and 2201 = LCM of 2201 and 2200

Related Least Common Multiples of 2200

Related Least Common Multiples of 2201

Frequently Asked Questions on LCM of 2200 and 2201

1. What is the LCM of 2200 and 2201?

Answer: LCM of 2200 and 2201 is 4842200.

2. What are the Factors of 2200?

Answer: Factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200. There are 24 integers that are factors of 2200. The greatest factor of 2200 is 2200.

3. What are the Factors of 2201?

Answer: Factors of 2201 are 1, 31, 71, 2201. There are 4 integers that are factors of 2201. The greatest factor of 2201 is 2201.

4. How to Find the LCM of 2200 and 2201?

Answer:

Least Common Multiple of 2200 and 2201 = 4842200

Step 1: Find the prime factorization of 2200

2200 = 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 2201

2201 = 31 x 71

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

LCM = 4842200 = 2 x 2 x 2 x 5 x 5 x 11 x 31 x 71

Step 4: Therefore, the least common multiple of 2200 and 2201 is 4842200.