Least Common Multiple of 4204 and 4208

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 4208 the smallest integer that is 4422608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4204 and 4208 is 4422608.

LCM(4204,4208) = 4422608

LCM of 4204 and 4208

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

LCM of:
and

Least Common Multiple of 4204 and 4208

LCM of 4204 and 4208 is 4422608

Least common multiple can be found by multiplying the highest exponent prime factors of 4204 and 4208. First we will calculate the prime factors of 4204 and 4208.

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 4208


2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:

4208 = 24×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4204 and 4208.

LCM(4204,4208) = 24×2631×10511
LCM(4204,4208) = 4422608

Factors of 4204

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

1, 2, 4, 1051, 2102, 4204

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

Least Common Multiple of 4204 and 4208 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 4208, than apply into the LCM equation.

GCF(4204,4208) = 4
LCM(4204,4208) = ( 4204 × 4208) / 4
LCM(4204,4208) = 17690432 / 4
LCM(4204,4208) = 4422608

Properties of LCM 4204 and 4208

(i) The LCM of 4208 and 4204 is associative

LCM of 4204 and 4208 = LCM of 4208 and 4204

Related Least Common Multiples of 4204

Related Least Common Multiples of 4208

Frequently Asked Questions on LCM of 4204 and 4208

1. What is the LCM of 4204 and 4208?

Answer: LCM of 4204 and 4208 is 4422608.

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 4208?

Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.

4. How to Find the LCM of 4204 and 4208?

Answer:

Least Common Multiple of 4204 and 4208 = 4422608

Step 1: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

Step 2: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

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

LCM = 4422608 = 2 x 2 x 2 x 2 x 263 x 1051

Step 4: Therefore, the least common multiple of 4204 and 4208 is 4422608.