Least Common Multiple of 2197 and 2200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2197 and 2200 the smallest integer that is 4833400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2197 and 2200 is 4833400.

LCM(2197,2200) = 4833400

LCM of 2197 and 2200

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

LCM of:
and

Least Common Multiple of 2197 and 2200

LCM of 2197 and 2200 is 4833400

Least common multiple can be found by multiplying the highest exponent prime factors of 2197 and 2200. First we will calculate the prime factors of 2197 and 2200.

Prime Factorization of 2197


13 2197
13 169
13 13
1

Prime factors of 2197 are 13. Prime factorization of 2197 in exponential form is:

2197 = 133

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2197 and 2200.

LCM(2197,2200) = 23×52×111×133
LCM(2197,2200) = 4833400

Factors of 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1, 13, 169, 2197

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

Least Common Multiple of 2197 and 2200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2197 and 2200, than apply into the LCM equation.

GCF(2197,2200) = 1
LCM(2197,2200) = ( 2197 × 2200) / 1
LCM(2197,2200) = 4833400 / 1
LCM(2197,2200) = 4833400

Properties of LCM 2197 and 2200

(i) The LCM of 2200 and 2197 is associative

LCM of 2197 and 2200 = LCM of 2200 and 2197

Related Least Common Multiples of 2197

Related Least Common Multiples of 2200

Frequently Asked Questions on LCM of 2197 and 2200

1. What is the LCM of 2197 and 2200?

Answer: LCM of 2197 and 2200 is 4833400.

2. What are the Factors of 2197?

Answer: Factors of 2197 are 1, 13, 169, 2197. There are 4 integers that are factors of 2197. The greatest factor of 2197 is 2197.

3. 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.

4. How to Find the LCM of 2197 and 2200?

Answer:

Least Common Multiple of 2197 and 2200 = 4833400

Step 1: Find the prime factorization of 2197

2197 = 13 x 13 x 13

Step 2: Find the prime factorization of 2200

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

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

LCM = 4833400 = 2 x 2 x 2 x 5 x 5 x 11 x 13 x 13 x 13

Step 4: Therefore, the least common multiple of 2197 and 2200 is 4833400.