Least Common Multiple of 205 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 205 and 207 the smallest integer that is 42435 that is divisible by both numbers.

Least Common Multiple (LCM) of 205 and 207 is 42435.

LCM(205,207) = 42435

LCM of 205 and 207

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

LCM of:
and

Least Common Multiple of 205 and 207

LCM of 205 and 207 is 42435

Least common multiple can be found by multiplying the highest exponent prime factors of 205 and 207. First we will calculate the prime factors of 205 and 207.

Prime Factorization of 205


5 205
41 41
1

Prime factors of 205 are 5,41. Prime factorization of 205 in exponential form is:

205 = 51×411

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 205 and 207.

LCM(205,207) = 32×51×231×411
LCM(205,207) = 42435

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 205 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 205 and 207, than apply into the LCM equation.

GCF(205,207) = 1
LCM(205,207) = ( 205 × 207) / 1
LCM(205,207) = 42435 / 1
LCM(205,207) = 42435

Properties of LCM 205 and 207

(i) The LCM of 207 and 205 is associative

LCM of 205 and 207 = LCM of 207 and 205

Related Least Common Multiples of 205

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 205 and 207

1. What is the LCM of 205 and 207?

Answer: LCM of 205 and 207 is 42435.

2. What are the Factors of 205?

Answer: Factors of 205 are 1, 5, 41, 205. There are 4 integers that are factors of 205. The greatest factor of 205 is 205.

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 205 and 207?

Answer:

Least Common Multiple of 205 and 207 = 42435

Step 1: Find the prime factorization of 205

205 = 5 x 41

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 = 42435 = 3 x 3 x 5 x 23 x 41

Step 4: Therefore, the least common multiple of 205 and 207 is 42435.