Least Common Multiple of 203 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 203 and 207 the smallest integer that is 42021 that is divisible by both numbers.

Least Common Multiple (LCM) of 203 and 207 is 42021.

LCM(203,207) = 42021

LCM of 203 and 207

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

LCM of:
and

Least Common Multiple of 203 and 207

LCM of 203 and 207 is 42021

Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 207. First we will calculate the prime factors of 203 and 207.

Prime Factorization of 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

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 203 and 207.

LCM(203,207) = 32×71×231×291
LCM(203,207) = 42021

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

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 203 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 203 and 207, than apply into the LCM equation.

GCF(203,207) = 1
LCM(203,207) = ( 203 × 207) / 1
LCM(203,207) = 42021 / 1
LCM(203,207) = 42021

Properties of LCM 203 and 207

(i) The LCM of 207 and 203 is associative

LCM of 203 and 207 = LCM of 207 and 203

Related Least Common Multiples of 203

Related Least Common Multiples of 207

Frequently Asked Questions on LCM of 203 and 207

1. What is the LCM of 203 and 207?

Answer: LCM of 203 and 207 is 42021.

2. What are the Factors of 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

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 203 and 207?

Answer:

Least Common Multiple of 203 and 207 = 42021

Step 1: Find the prime factorization of 203

203 = 7 x 29

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 = 42021 = 3 x 3 x 7 x 23 x 29

Step 4: Therefore, the least common multiple of 203 and 207 is 42021.