Least Common Multiple of 200 and 202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 200 and 202 the smallest integer that is 20200 that is divisible by both numbers.

Least Common Multiple (LCM) of 200 and 202 is 20200.

LCM(200,202) = 20200

LCM of 200 and 202

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

LCM of:
and

Least Common Multiple of 200 and 202

LCM of 200 and 202 is 20200

Least common multiple can be found by multiplying the highest exponent prime factors of 200 and 202. First we will calculate the prime factors of 200 and 202.

Prime Factorization of 200


2 200
2 100
2 50
5 25
5 5
1

Prime factors of 200 are 2,5. Prime factorization of 200 in exponential form is:

200 = 23×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 200 and 202.

LCM(200,202) = 23×52×1011
LCM(200,202) = 20200

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Factors of 202

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

1, 2, 101, 202

Least Common Multiple of 200 and 202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 200 and 202, than apply into the LCM equation.

GCF(200,202) = 2
LCM(200,202) = ( 200 × 202) / 2
LCM(200,202) = 40400 / 2
LCM(200,202) = 20200

Properties of LCM 200 and 202

(i) The LCM of 202 and 200 is associative

LCM of 200 and 202 = LCM of 202 and 200

Related Least Common Multiples of 200

Related Least Common Multiples of 202

Frequently Asked Questions on LCM of 200 and 202

1. What is the LCM of 200 and 202?

Answer: LCM of 200 and 202 is 20200.

2. What are the Factors of 200?

Answer: Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. There are 12 integers that are factors of 200. The greatest factor of 200 is 200.

3. 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.

4. How to Find the LCM of 200 and 202?

Answer:

Least Common Multiple of 200 and 202 = 20200

Step 1: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 202

202 = 2 x 101

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

LCM = 20200 = 2 x 2 x 2 x 5 x 5 x 101

Step 4: Therefore, the least common multiple of 200 and 202 is 20200.