Least Common Multiple of 1225 and 1232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1225 and 1232 the smallest integer that is 215600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1225 and 1232 is 215600.

LCM(1225,1232) = 215600

LCM of 1225 and 1232

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

LCM of:
and

Least Common Multiple of 1225 and 1232

LCM of 1225 and 1232 is 215600

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1232. First we will calculate the prime factors of 1225 and 1232.

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

Prime Factorization of 1232


2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 1232 are 2, 7,11. Prime factorization of 1232 in exponential form is:

1232 = 24×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1232.

LCM(1225,1232) = 24×52×72×111
LCM(1225,1232) = 215600

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

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

Least Common Multiple of 1225 and 1232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1225 and 1232, than apply into the LCM equation.

GCF(1225,1232) = 7
LCM(1225,1232) = ( 1225 × 1232) / 7
LCM(1225,1232) = 1509200 / 7
LCM(1225,1232) = 215600

Properties of LCM 1225 and 1232

(i) The LCM of 1232 and 1225 is associative

LCM of 1225 and 1232 = LCM of 1232 and 1225

Related Least Common Multiples of 1225

Related Least Common Multiples of 1232

Frequently Asked Questions on LCM of 1225 and 1232

1. What is the LCM of 1225 and 1232?

Answer: LCM of 1225 and 1232 is 215600.

2. 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.

3. What are the Factors of 1232?

Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.

4. How to Find the LCM of 1225 and 1232?

Answer:

Least Common Multiple of 1225 and 1232 = 215600

Step 1: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 1232

1232 = 2 x 2 x 2 x 2 x 7 x 11

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

LCM = 215600 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 1225 and 1232 is 215600.