Least Common Multiple of 206 and 207

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 207 the smallest integer that is 42642 that is divisible by both numbers.

Least Common Multiple (LCM) of 206 and 207 is 42642.

LCM(206,207) = 42642

LCM of 206 and 207

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

LCM of:
and

Least Common Multiple of 206 and 207

LCM of 206 and 207 is 42642

Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 207. First we will calculate the prime factors of 206 and 207.

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 207


3 207
3 69
23 23
1

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 207.

LCM(206,207) = 21×32×231×1031
LCM(206,207) = 42642

Factors of 206

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

1, 2, 103, 206

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Least Common Multiple of 206 and 207 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 207, than apply into the LCM equation.

GCF(206,207) = 1
LCM(206,207) = ( 206 × 207) / 1
LCM(206,207) = 42642 / 1
LCM(206,207) = 42642

Properties of LCM 206 and 207

(i) The LCM of 207 and 206 is associative

LCM of 206 and 207 = LCM of 207 and 206

Related Least Common Multiples of 206

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 206 and 207

1. What is the LCM of 206 and 207?

Answer: LCM of 206 and 207 is 42642.

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 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

4. How to Find the LCM of 206 and 207?

Answer:

Least Common Multiple of 206 and 207 = 42642

Step 1: Find the prime factorization of 206

206 = 2 x 103

Step 2: Find the prime factorization of 207

207 = 3 x 3 x 23

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

LCM = 42642 = 2 x 3 x 3 x 23 x 103

Step 4: Therefore, the least common multiple of 206 and 207 is 42642.