Least Common Multiple of 206 and 212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 206 and 212 the smallest integer that is 21836 that is divisible by both numbers.

Least Common Multiple (LCM) of 206 and 212 is 21836.

LCM(206,212) = 21836

LCM of 206 and 212

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

LCM of:
and

Least Common Multiple of 206 and 212

LCM of 206 and 212 is 21836

Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 212. First we will calculate the prime factors of 206 and 212.

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

Prime Factorization of 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 212.

LCM(206,212) = 22×531×1031
LCM(206,212) = 21836

Factors of 206

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

1, 2, 103, 206

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Least Common Multiple of 206 and 212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 206 and 212, than apply into the LCM equation.

GCF(206,212) = 2
LCM(206,212) = ( 206 × 212) / 2
LCM(206,212) = 43672 / 2
LCM(206,212) = 21836

Properties of LCM 206 and 212

(i) The LCM of 212 and 206 is associative

LCM of 206 and 212 = LCM of 212 and 206

Related Least Common Multiples of 206

Related Least Common Multiples of 212

Frequently Asked Questions on LCM of 206 and 212

1. What is the LCM of 206 and 212?

Answer: LCM of 206 and 212 is 21836.

2. 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.

3. What are the Factors of 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

4. How to Find the LCM of 206 and 212?

Answer:

Least Common Multiple of 206 and 212 = 21836

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 212

212 = 2 x 2 x 53

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

LCM = 21836 = 2 x 2 x 53 x 103

Step 4: Therefore, the least common multiple of 206 and 212 is 21836.