Least Common Multiple of 202 and 205

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 205 the smallest integer that is 41410 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 205 is 41410.

LCM(202,205) = 41410

LCM of 202 and 205

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

LCM of:
and

Least Common Multiple of 202 and 205

LCM of 202 and 205 is 41410

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 205. First we will calculate the prime factors of 202 and 205.

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 205


5 205
41 41
1

Prime factors of 205 are 5,41. Prime factorization of 205 in exponential form is:

205 = 51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 205.

LCM(202,205) = 21×51×411×1011
LCM(202,205) = 41410

Factors of 202

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

1, 2, 101, 202

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Least Common Multiple of 202 and 205 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 205, than apply into the LCM equation.

GCF(202,205) = 1
LCM(202,205) = ( 202 × 205) / 1
LCM(202,205) = 41410 / 1
LCM(202,205) = 41410

Properties of LCM 202 and 205

(i) The LCM of 205 and 202 is associative

LCM of 202 and 205 = LCM of 205 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 205

Frequently Asked Questions on LCM of 202 and 205

1. What is the LCM of 202 and 205?

Answer: LCM of 202 and 205 is 41410.

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 205?

Answer: Factors of 205 are 1, 5, 41, 205. There are 4 integers that are factors of 205. The greatest factor of 205 is 205.

4. How to Find the LCM of 202 and 205?

Answer:

Least Common Multiple of 202 and 205 = 41410

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 205

205 = 5 x 41

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

LCM = 41410 = 2 x 5 x 41 x 101

Step 4: Therefore, the least common multiple of 202 and 205 is 41410.