Least Common Multiple of 1224 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 1224 and 1231 the smallest integer that is 1506744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1224 and 1231 is 1506744.

LCM(1224,1231) = 1506744

LCM of 1224 and 1231

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

LCM of:
and

Least Common Multiple of 1224 and 1231

LCM of 1224 and 1231 is 1506744

Least common multiple can be found by multiplying the highest exponent prime factors of 1224 and 1231. First we will calculate the prime factors of 1224 and 1231.

Prime Factorization of 1224


2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 1224 are 2, 3,17. Prime factorization of 1224 in exponential form is:

1224 = 23×32×171

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 1224 and 1231.

LCM(1224,1231) = 23×32×171×12311
LCM(1224,1231) = 1506744

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224

Factors of 1231

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

1, 1231

Least Common Multiple of 1224 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 1224 and 1231, than apply into the LCM equation.

GCF(1224,1231) = 1
LCM(1224,1231) = ( 1224 × 1231) / 1
LCM(1224,1231) = 1506744 / 1
LCM(1224,1231) = 1506744

Properties of LCM 1224 and 1231

(i) The LCM of 1231 and 1224 is associative

LCM of 1224 and 1231 = LCM of 1231 and 1224

Related Least Common Multiples of 1224

Related Least Common Multiples of 1231

Frequently Asked Questions on LCM of 1224 and 1231

1. What is the LCM of 1224 and 1231?

Answer: LCM of 1224 and 1231 is 1506744.

2. What are the Factors of 1224?

Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.

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 1224 and 1231?

Answer:

Least Common Multiple of 1224 and 1231 = 1506744

Step 1: Find the prime factorization of 1224

1224 = 2 x 2 x 2 x 3 x 3 x 17

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 = 1506744 = 2 x 2 x 2 x 3 x 3 x 17 x 1231

Step 4: Therefore, the least common multiple of 1224 and 1231 is 1506744.