Least Common Multiple of 206 and 210

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 210 the smallest integer that is 21630 that is divisible by both numbers.

Least Common Multiple (LCM) of 206 and 210 is 21630.

LCM(206,210) = 21630

LCM of 206 and 210

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

LCM of:
and

Least Common Multiple of 206 and 210

LCM of 206 and 210 is 21630

Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 210. First we will calculate the prime factors of 206 and 210.

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 210


2 210
3 105
5 35
7 7
1

Prime factors of 210 are 2, 3, 5,7. Prime factorization of 210 in exponential form is:

210 = 21×31×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 210.

LCM(206,210) = 21×31×51×71×1031
LCM(206,210) = 21630

Factors of 206

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

1, 2, 103, 206

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Least Common Multiple of 206 and 210 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 210, than apply into the LCM equation.

GCF(206,210) = 2
LCM(206,210) = ( 206 × 210) / 2
LCM(206,210) = 43260 / 2
LCM(206,210) = 21630

Properties of LCM 206 and 210

(i) The LCM of 210 and 206 is associative

LCM of 206 and 210 = LCM of 210 and 206

Related Least Common Multiples of 206

Related Least Common Multiples of 210

Frequently Asked Questions on LCM of 206 and 210

1. What is the LCM of 206 and 210?

Answer: LCM of 206 and 210 is 21630.

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 210?

Answer: Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. There are 16 integers that are factors of 210. The greatest factor of 210 is 210.

4. How to Find the LCM of 206 and 210?

Answer:

Least Common Multiple of 206 and 210 = 21630

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

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

LCM = 21630 = 2 x 3 x 5 x 7 x 103

Step 4: Therefore, the least common multiple of 206 and 210 is 21630.