Least Common Multiple of 1217 and 1224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1217 and 1224 the smallest integer that is 1489608 that is divisible by both numbers.

Least Common Multiple (LCM) of 1217 and 1224 is 1489608.

LCM(1217,1224) = 1489608

LCM of 1217 and 1224

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

LCM of:
and

Least Common Multiple of 1217 and 1224

LCM of 1217 and 1224 is 1489608

Least common multiple can be found by multiplying the highest exponent prime factors of 1217 and 1224. First we will calculate the prime factors of 1217 and 1224.

Prime Factorization of 1217


1217 1217
1

Prime factors of 1217 are 1217. Prime factorization of 1217 in exponential form is:

1217 = 12171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1217 and 1224.

LCM(1217,1224) = 23×32×171×12171
LCM(1217,1224) = 1489608

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1, 1217

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

Least Common Multiple of 1217 and 1224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1217 and 1224, than apply into the LCM equation.

GCF(1217,1224) = 1
LCM(1217,1224) = ( 1217 × 1224) / 1
LCM(1217,1224) = 1489608 / 1
LCM(1217,1224) = 1489608

Properties of LCM 1217 and 1224

(i) The LCM of 1224 and 1217 is associative

LCM of 1217 and 1224 = LCM of 1224 and 1217

Related Least Common Multiples of 1217

Related Least Common Multiples of 1224

Frequently Asked Questions on LCM of 1217 and 1224

1. What is the LCM of 1217 and 1224?

Answer: LCM of 1217 and 1224 is 1489608.

2. What are the Factors of 1217?

Answer: Factors of 1217 are 1, 1217. There are 2 integers that are factors of 1217. The greatest factor of 1217 is 1217.

3. 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.

4. How to Find the LCM of 1217 and 1224?

Answer:

Least Common Multiple of 1217 and 1224 = 1489608

Step 1: Find the prime factorization of 1217

1217 = 1217

Step 2: Find the prime factorization of 1224

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

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

LCM = 1489608 = 2 x 2 x 2 x 3 x 3 x 17 x 1217

Step 4: Therefore, the least common multiple of 1217 and 1224 is 1489608.