Least Common Multiple of 4197 and 4204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4197 and 4204 the smallest integer that is 17644188 that is divisible by both numbers.

Least Common Multiple (LCM) of 4197 and 4204 is 17644188.

LCM(4197,4204) = 17644188

LCM of 4197 and 4204

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

LCM of:
and

Least Common Multiple of 4197 and 4204

LCM of 4197 and 4204 is 17644188

Least common multiple can be found by multiplying the highest exponent prime factors of 4197 and 4204. First we will calculate the prime factors of 4197 and 4204.

Prime Factorization of 4197


3 4197
1399 1399
1

Prime factors of 4197 are 3,1399. Prime factorization of 4197 in exponential form is:

4197 = 31×13991

Prime Factorization of 4204


2 4204
2 2102
1051 1051
1

Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:

4204 = 22×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 4197 and 4204.

LCM(4197,4204) = 22×31×10511×13991
LCM(4197,4204) = 17644188

Factors of 4197

List of positive integer factors of 4197 that divides 4197 without a remainder.

1, 3, 1399, 4197

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1, 2, 4, 1051, 2102, 4204

Least Common Multiple of 4197 and 4204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4197 and 4204, than apply into the LCM equation.

GCF(4197,4204) = 1
LCM(4197,4204) = ( 4197 × 4204) / 1
LCM(4197,4204) = 17644188 / 1
LCM(4197,4204) = 17644188

Properties of LCM 4197 and 4204

(i) The LCM of 4204 and 4197 is associative

LCM of 4197 and 4204 = LCM of 4204 and 4197

Related Least Common Multiples of 4197

Related Least Common Multiples of 4204

Frequently Asked Questions on LCM of 4197 and 4204

1. What is the LCM of 4197 and 4204?

Answer: LCM of 4197 and 4204 is 17644188.

2. What are the Factors of 4197?

Answer: Factors of 4197 are 1, 3, 1399, 4197. There are 4 integers that are factors of 4197. The greatest factor of 4197 is 4197.

3. What are the Factors of 4204?

Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.

4. How to Find the LCM of 4197 and 4204?

Answer:

Least Common Multiple of 4197 and 4204 = 17644188

Step 1: Find the prime factorization of 4197

4197 = 3 x 1399

Step 2: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

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

LCM = 17644188 = 2 x 2 x 3 x 1051 x 1399

Step 4: Therefore, the least common multiple of 4197 and 4204 is 17644188.