Least Common Multiple of 1224 and 1229

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 1229 the smallest integer that is 1504296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1224 and 1229 is 1504296.

LCM(1224,1229) = 1504296

LCM of 1224 and 1229

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

LCM of:
and

Least Common Multiple of 1224 and 1229

LCM of 1224 and 1229 is 1504296

Least common multiple can be found by multiplying the highest exponent prime factors of 1224 and 1229. First we will calculate the prime factors of 1224 and 1229.

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 1229


1229 1229
1

Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:

1229 = 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 1224 and 1229.

LCM(1224,1229) = 23×32×171×12291
LCM(1224,1229) = 1504296

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 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1, 1229

Least Common Multiple of 1224 and 1229 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 1229, than apply into the LCM equation.

GCF(1224,1229) = 1
LCM(1224,1229) = ( 1224 × 1229) / 1
LCM(1224,1229) = 1504296 / 1
LCM(1224,1229) = 1504296

Properties of LCM 1224 and 1229

(i) The LCM of 1229 and 1224 is associative

LCM of 1224 and 1229 = LCM of 1229 and 1224

Related Least Common Multiples of 1224

Related Least Common Multiples of 1229

Frequently Asked Questions on LCM of 1224 and 1229

1. What is the LCM of 1224 and 1229?

Answer: LCM of 1224 and 1229 is 1504296.

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 1229?

Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.

4. How to Find the LCM of 1224 and 1229?

Answer:

Least Common Multiple of 1224 and 1229 = 1504296

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 1229

1229 = 1229

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

LCM = 1504296 = 2 x 2 x 2 x 3 x 3 x 17 x 1229

Step 4: Therefore, the least common multiple of 1224 and 1229 is 1504296.