Least Common Multiple of 2200 and 2202

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 2202 the smallest integer that is 2422200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2200 and 2202 is 2422200.

LCM(2200,2202) = 2422200

LCM of 2200 and 2202

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

LCM of:
and

Least Common Multiple of 2200 and 2202

LCM of 2200 and 2202 is 2422200

Least common multiple can be found by multiplying the highest exponent prime factors of 2200 and 2202. First we will calculate the prime factors of 2200 and 2202.

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 2202


2 2202
3 1101
367 367
1

Prime factors of 2202 are 2, 3,367. Prime factorization of 2202 in exponential form is:

2202 = 21×31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2200 and 2202.

LCM(2200,2202) = 23×31×52×111×3671
LCM(2200,2202) = 2422200

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 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1, 2, 3, 6, 367, 734, 1101, 2202

Least Common Multiple of 2200 and 2202 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 2202, than apply into the LCM equation.

GCF(2200,2202) = 2
LCM(2200,2202) = ( 2200 × 2202) / 2
LCM(2200,2202) = 4844400 / 2
LCM(2200,2202) = 2422200

Properties of LCM 2200 and 2202

(i) The LCM of 2202 and 2200 is associative

LCM of 2200 and 2202 = LCM of 2202 and 2200

Related Least Common Multiples of 2200

Related Least Common Multiples of 2202

Frequently Asked Questions on LCM of 2200 and 2202

1. What is the LCM of 2200 and 2202?

Answer: LCM of 2200 and 2202 is 2422200.

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 2202?

Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.

4. How to Find the LCM of 2200 and 2202?

Answer:

Least Common Multiple of 2200 and 2202 = 2422200

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 2202

2202 = 2 x 3 x 367

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

LCM = 2422200 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 367

Step 4: Therefore, the least common multiple of 2200 and 2202 is 2422200.