Least Common Multiple of 202 and 206

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 206 the smallest integer that is 20806 that is divisible by both numbers.

Least Common Multiple (LCM) of 202 and 206 is 20806.

LCM(202,206) = 20806

LCM of 202 and 206

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

LCM of:
and

Least Common Multiple of 202 and 206

LCM of 202 and 206 is 20806

Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 206. First we will calculate the prime factors of 202 and 206.

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 206


2 206
103 103
1

Prime factors of 206 are 2,103. Prime factorization of 206 in exponential form is:

206 = 21×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 206.

LCM(202,206) = 21×1011×1031
LCM(202,206) = 20806

Factors of 202

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

1, 2, 101, 202

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Least Common Multiple of 202 and 206 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 206, than apply into the LCM equation.

GCF(202,206) = 2
LCM(202,206) = ( 202 × 206) / 2
LCM(202,206) = 41612 / 2
LCM(202,206) = 20806

Properties of LCM 202 and 206

(i) The LCM of 206 and 202 is associative

LCM of 202 and 206 = LCM of 206 and 202

Related Least Common Multiples of 202

Related Least Common Multiples of 206

Frequently Asked Questions on LCM of 202 and 206

1. What is the LCM of 202 and 206?

Answer: LCM of 202 and 206 is 20806.

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 206?

Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.

4. How to Find the LCM of 202 and 206?

Answer:

Least Common Multiple of 202 and 206 = 20806

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 206

206 = 2 x 103

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

LCM = 20806 = 2 x 101 x 103

Step 4: Therefore, the least common multiple of 202 and 206 is 20806.