Least Common Multiple of 1223 and 1230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1223 and 1230 the smallest integer that is 1504290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1223 and 1230 is 1504290.

LCM(1223,1230) = 1504290

LCM of 1223 and 1230

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

LCM of:
and

Least Common Multiple of 1223 and 1230

LCM of 1223 and 1230 is 1504290

Least common multiple can be found by multiplying the highest exponent prime factors of 1223 and 1230. First we will calculate the prime factors of 1223 and 1230.

Prime Factorization of 1223


1223 1223
1

Prime factors of 1223 are 1223. Prime factorization of 1223 in exponential form is:

1223 = 12231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1223 and 1230.

LCM(1223,1230) = 21×31×51×411×12231
LCM(1223,1230) = 1504290

Factors of 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1, 1223

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

Least Common Multiple of 1223 and 1230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1223 and 1230, than apply into the LCM equation.

GCF(1223,1230) = 1
LCM(1223,1230) = ( 1223 × 1230) / 1
LCM(1223,1230) = 1504290 / 1
LCM(1223,1230) = 1504290

Properties of LCM 1223 and 1230

(i) The LCM of 1230 and 1223 is associative

LCM of 1223 and 1230 = LCM of 1230 and 1223

Related Least Common Multiples of 1223

Related Least Common Multiples of 1230

Frequently Asked Questions on LCM of 1223 and 1230

1. What is the LCM of 1223 and 1230?

Answer: LCM of 1223 and 1230 is 1504290.

2. What are the Factors of 1223?

Answer: Factors of 1223 are 1, 1223. There are 2 integers that are factors of 1223. The greatest factor of 1223 is 1223.

3. 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.

4. How to Find the LCM of 1223 and 1230?

Answer:

Least Common Multiple of 1223 and 1230 = 1504290

Step 1: Find the prime factorization of 1223

1223 = 1223

Step 2: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

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

LCM = 1504290 = 2 x 3 x 5 x 41 x 1223

Step 4: Therefore, the least common multiple of 1223 and 1230 is 1504290.