Least Common Multiple of 1230 and 1231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1230 and 1231 the smallest integer that is 1514130 that is divisible by both numbers.

Least Common Multiple (LCM) of 1230 and 1231 is 1514130.

LCM(1230,1231) = 1514130

LCM of 1230 and 1231

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

LCM of:
and

Least Common Multiple of 1230 and 1231

LCM of 1230 and 1231 is 1514130

Least common multiple can be found by multiplying the highest exponent prime factors of 1230 and 1231. First we will calculate the prime factors of 1230 and 1231.

Prime Factorization of 1230


2 1230
3 615
5 205
41 41
1

Prime factors of 1230 are 2, 3, 5,41. Prime factorization of 1230 in exponential form is:

1230 = 21×31×51×411

Prime Factorization of 1231


1231 1231
1

Prime factors of 1231 are 1231. Prime factorization of 1231 in exponential form is:

1231 = 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 1230 and 1231.

LCM(1230,1231) = 21×31×51×411×12311
LCM(1230,1231) = 1514130

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1, 1231

Least Common Multiple of 1230 and 1231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1230 and 1231, than apply into the LCM equation.

GCF(1230,1231) = 1
LCM(1230,1231) = ( 1230 × 1231) / 1
LCM(1230,1231) = 1514130 / 1
LCM(1230,1231) = 1514130

Properties of LCM 1230 and 1231

(i) The LCM of 1231 and 1230 is associative

LCM of 1230 and 1231 = LCM of 1231 and 1230

Related Least Common Multiples of 1230

Related Least Common Multiples of 1231

Frequently Asked Questions on LCM of 1230 and 1231

1. What is the LCM of 1230 and 1231?

Answer: LCM of 1230 and 1231 is 1514130.

2. What are the Factors of 1230?

Answer: Factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230. There are 16 integers that are factors of 1230. The greatest factor of 1230 is 1230.

3. What are the Factors of 1231?

Answer: Factors of 1231 are 1, 1231. There are 2 integers that are factors of 1231. The greatest factor of 1231 is 1231.

4. How to Find the LCM of 1230 and 1231?

Answer:

Least Common Multiple of 1230 and 1231 = 1514130

Step 1: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 1231

1231 = 1231

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

LCM = 1514130 = 2 x 3 x 5 x 41 x 1231

Step 4: Therefore, the least common multiple of 1230 and 1231 is 1514130.