Least Common Multiple of 1224 and 1225

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 1225 the smallest integer that is 1499400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1224 and 1225 is 1499400.

LCM(1224,1225) = 1499400

LCM of 1224 and 1225

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

LCM of:
and

Least Common Multiple of 1224 and 1225

LCM of 1224 and 1225 is 1499400

Least common multiple can be found by multiplying the highest exponent prime factors of 1224 and 1225. First we will calculate the prime factors of 1224 and 1225.

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 1225


5 1225
5 245
7 49
7 7
1

Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:

1225 = 52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1224 and 1225.

LCM(1224,1225) = 23×32×52×72×171
LCM(1224,1225) = 1499400

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 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 1225

Least Common Multiple of 1224 and 1225 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 1225, than apply into the LCM equation.

GCF(1224,1225) = 1
LCM(1224,1225) = ( 1224 × 1225) / 1
LCM(1224,1225) = 1499400 / 1
LCM(1224,1225) = 1499400

Properties of LCM 1224 and 1225

(i) The LCM of 1225 and 1224 is associative

LCM of 1224 and 1225 = LCM of 1225 and 1224

Related Least Common Multiples of 1224

Related Least Common Multiples of 1225

Frequently Asked Questions on LCM of 1224 and 1225

1. What is the LCM of 1224 and 1225?

Answer: LCM of 1224 and 1225 is 1499400.

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 1225?

Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.

4. How to Find the LCM of 1224 and 1225?

Answer:

Least Common Multiple of 1224 and 1225 = 1499400

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 1225

1225 = 5 x 5 x 7 x 7

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

LCM = 1499400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 1224 and 1225 is 1499400.