Least Common Multiple of 1222 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 1222 and 1230 the smallest integer that is 751530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1222 and 1230 is 751530.

LCM(1222,1230) = 751530

LCM of 1222 and 1230

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

LCM of:
and

Least Common Multiple of 1222 and 1230

LCM of 1222 and 1230 is 751530

Least common multiple can be found by multiplying the highest exponent prime factors of 1222 and 1230. First we will calculate the prime factors of 1222 and 1230.

Prime Factorization of 1222


2 1222
13 611
47 47
1

Prime factors of 1222 are 2, 13,47. Prime factorization of 1222 in exponential form is:

1222 = 21×131×471

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 1222 and 1230.

LCM(1222,1230) = 21×31×51×131×411×471
LCM(1222,1230) = 751530

Factors of 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1, 2, 13, 26, 47, 94, 611, 1222

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 1222 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 1222 and 1230, than apply into the LCM equation.

GCF(1222,1230) = 2
LCM(1222,1230) = ( 1222 × 1230) / 2
LCM(1222,1230) = 1503060 / 2
LCM(1222,1230) = 751530

Properties of LCM 1222 and 1230

(i) The LCM of 1230 and 1222 is associative

LCM of 1222 and 1230 = LCM of 1230 and 1222

Related Least Common Multiples of 1222

Related Least Common Multiples of 1230

Frequently Asked Questions on LCM of 1222 and 1230

1. What is the LCM of 1222 and 1230?

Answer: LCM of 1222 and 1230 is 751530.

2. What are the Factors of 1222?

Answer: Factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222. There are 8 integers that are factors of 1222. The greatest factor of 1222 is 1222.

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 1222 and 1230?

Answer:

Least Common Multiple of 1222 and 1230 = 751530

Step 1: Find the prime factorization of 1222

1222 = 2 x 13 x 47

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 = 751530 = 2 x 3 x 5 x 13 x 41 x 47

Step 4: Therefore, the least common multiple of 1222 and 1230 is 751530.