Least Common Multiple of 1203 and 1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1203 and 1210 the smallest integer that is 1455630 that is divisible by both numbers.

Least Common Multiple (LCM) of 1203 and 1210 is 1455630.

LCM(1203,1210) = 1455630

LCM of 1203 and 1210

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

LCM of:
and

Least Common Multiple of 1203 and 1210

LCM of 1203 and 1210 is 1455630

Least common multiple can be found by multiplying the highest exponent prime factors of 1203 and 1210. First we will calculate the prime factors of 1203 and 1210.

Prime Factorization of 1203


3 1203
401 401
1

Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:

1203 = 31×4011

Prime Factorization of 1210


2 1210
5 605
11 121
11 11
1

Prime factors of 1210 are 2, 5,11. Prime factorization of 1210 in exponential form is:

1210 = 21×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1203 and 1210.

LCM(1203,1210) = 21×31×51×112×4011
LCM(1203,1210) = 1455630

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1, 3, 401, 1203

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210

Least Common Multiple of 1203 and 1210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1203 and 1210, than apply into the LCM equation.

GCF(1203,1210) = 1
LCM(1203,1210) = ( 1203 × 1210) / 1
LCM(1203,1210) = 1455630 / 1
LCM(1203,1210) = 1455630

Properties of LCM 1203 and 1210

(i) The LCM of 1210 and 1203 is associative

LCM of 1203 and 1210 = LCM of 1210 and 1203

Related Least Common Multiples of 1203

Related Least Common Multiples of 1210

Frequently Asked Questions on LCM of 1203 and 1210

1. What is the LCM of 1203 and 1210?

Answer: LCM of 1203 and 1210 is 1455630.

2. What are the Factors of 1203?

Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.

3. What are the Factors of 1210?

Answer: Factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210. There are 12 integers that are factors of 1210. The greatest factor of 1210 is 1210.

4. How to Find the LCM of 1203 and 1210?

Answer:

Least Common Multiple of 1203 and 1210 = 1455630

Step 1: Find the prime factorization of 1203

1203 = 3 x 401

Step 2: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

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

LCM = 1455630 = 2 x 3 x 5 x 11 x 11 x 401

Step 4: Therefore, the least common multiple of 1203 and 1210 is 1455630.