Least Common Multiple of 202 and 204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 202 and 204 the smallest integer that is 20604 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 204 is 20604.

LCM(202,204) = 20604

LCM of 202 and 204

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

LCM of:
and

Least Common Multiple of 202 and 204

LCM of 202 and 204 is 20604

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 204. First we will calculate the prime factors of 202 and 204.

Prime Factorization of 202


2 202
101 101
1

Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:

202 = 21×1011

Prime Factorization of 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2, 3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 204.

LCM(202,204) = 22×31×171×1011
LCM(202,204) = 20604

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Least Common Multiple of 202 and 204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 202 and 204, than apply into the LCM equation.

GCF(202,204) = 2
LCM(202,204) = ( 202 × 204) / 2
LCM(202,204) = 41208 / 2
LCM(202,204) = 20604

Properties of LCM 202 and 204

(i) The LCM of 204 and 202 is associative

LCM of 202 and 204 = LCM of 204 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 204

Frequently Asked Questions on LCM of 202 and 204

1. What is the LCM of 202 and 204?

Answer: LCM of 202 and 204 is 20604.

2. What are the Factors of 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

3. What are the Factors of 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

4. How to Find the LCM of 202 and 204?

Answer:

Least Common Multiple of 202 and 204 = 20604

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

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

LCM = 20604 = 2 x 2 x 3 x 17 x 101

Step 4: Therefore, the least common multiple of 202 and 204 is 20604.