Least Common Multiple of 202 and 203

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 203 the smallest integer that is 41006 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 203 is 41006.

LCM(202,203) = 41006

LCM of 202 and 203

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

LCM of:
and

Least Common Multiple of 202 and 203

LCM of 202 and 203 is 41006

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 203. First we will calculate the prime factors of 202 and 203.

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 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 203.

LCM(202,203) = 21×71×291×1011
LCM(202,203) = 41006

Factors of 202

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

1, 2, 101, 202

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Least Common Multiple of 202 and 203 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 203, than apply into the LCM equation.

GCF(202,203) = 1
LCM(202,203) = ( 202 × 203) / 1
LCM(202,203) = 41006 / 1
LCM(202,203) = 41006

Properties of LCM 202 and 203

(i) The LCM of 203 and 202 is associative

LCM of 202 and 203 = LCM of 203 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 203

Frequently Asked Questions on LCM of 202 and 203

1. What is the LCM of 202 and 203?

Answer: LCM of 202 and 203 is 41006.

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 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the LCM of 202 and 203?

Answer:

Least Common Multiple of 202 and 203 = 41006

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 203

203 = 7 x 29

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

LCM = 41006 = 2 x 7 x 29 x 101

Step 4: Therefore, the least common multiple of 202 and 203 is 41006.