Least Common Multiple of 4204 and 4209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4204 and 4209 the smallest integer that is 17694636 that is divisible by both numbers.

Least Common Multiple (LCM) of 4204 and 4209 is 17694636.

LCM(4204,4209) = 17694636

LCM of 4204 and 4209

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

LCM of:
and

Least Common Multiple of 4204 and 4209

LCM of 4204 and 4209 is 17694636

Least common multiple can be found by multiplying the highest exponent prime factors of 4204 and 4209. First we will calculate the prime factors of 4204 and 4209.

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

Prime Factorization of 4209


3 4209
23 1403
61 61
1

Prime factors of 4209 are 3, 23,61. Prime factorization of 4209 in exponential form is:

4209 = 31×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4204 and 4209.

LCM(4204,4209) = 22×31×231×611×10511
LCM(4204,4209) = 17694636

Factors of 4204

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

1, 2, 4, 1051, 2102, 4204

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1, 3, 23, 61, 69, 183, 1403, 4209

Least Common Multiple of 4204 and 4209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4204 and 4209, than apply into the LCM equation.

GCF(4204,4209) = 1
LCM(4204,4209) = ( 4204 × 4209) / 1
LCM(4204,4209) = 17694636 / 1
LCM(4204,4209) = 17694636

Properties of LCM 4204 and 4209

(i) The LCM of 4209 and 4204 is associative

LCM of 4204 and 4209 = LCM of 4209 and 4204

Related Least Common Multiples of 4204

Related Least Common Multiples of 4209

Frequently Asked Questions on LCM of 4204 and 4209

1. What is the LCM of 4204 and 4209?

Answer: LCM of 4204 and 4209 is 17694636.

2. 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.

3. What are the Factors of 4209?

Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.

4. How to Find the LCM of 4204 and 4209?

Answer:

Least Common Multiple of 4204 and 4209 = 17694636

Step 1: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

Step 2: Find the prime factorization of 4209

4209 = 3 x 23 x 61

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

LCM = 17694636 = 2 x 2 x 3 x 23 x 61 x 1051

Step 4: Therefore, the least common multiple of 4204 and 4209 is 17694636.