Least Common Multiple of 203 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 203 and 210 the smallest integer that is 6090 that is divisible by both numbers.

Least Common Multiple (LCM) of 203 and 210 is 6090.

LCM(203,210) = 6090

LCM of 203 and 210

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

LCM of:
and

Least Common Multiple of 203 and 210

LCM of 203 and 210 is 6090

Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 210. First we will calculate the prime factors of 203 and 210.

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 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 203 and 210.

LCM(203,210) = 21×31×51×71×291
LCM(203,210) = 6090

Factors of 203

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

1, 7, 29, 203

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 203 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 203 and 210, than apply into the LCM equation.

GCF(203,210) = 7
LCM(203,210) = ( 203 × 210) / 7
LCM(203,210) = 42630 / 7
LCM(203,210) = 6090

Properties of LCM 203 and 210

(i) The LCM of 210 and 203 is associative

LCM of 203 and 210 = LCM of 210 and 203

Related Least Common Multiples of 203

Related Least Common Multiples of 210

Frequently Asked Questions on LCM of 203 and 210

1. What is the LCM of 203 and 210?

Answer: LCM of 203 and 210 is 6090.

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 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 203 and 210?

Answer:

Least Common Multiple of 203 and 210 = 6090

Step 1: Find the prime factorization of 203

203 = 7 x 29

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 = 6090 = 2 x 3 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 203 and 210 is 6090.