Least Common Multiple of 1227 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 1227 and 1232 the smallest integer that is 1511664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1227 and 1232 is 1511664.

LCM(1227,1232) = 1511664

LCM of 1227 and 1232

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

LCM of:
and

Least Common Multiple of 1227 and 1232

LCM of 1227 and 1232 is 1511664

Least common multiple can be found by multiplying the highest exponent prime factors of 1227 and 1232. First we will calculate the prime factors of 1227 and 1232.

Prime Factorization of 1227


3 1227
409 409
1

Prime factors of 1227 are 3,409. Prime factorization of 1227 in exponential form is:

1227 = 31×4091

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 1227 and 1232.

LCM(1227,1232) = 24×31×71×111×4091
LCM(1227,1232) = 1511664

Factors of 1227

List of positive integer factors of 1227 that divides 1227 without a remainder.

1, 3, 409, 1227

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 1227 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 1227 and 1232, than apply into the LCM equation.

GCF(1227,1232) = 1
LCM(1227,1232) = ( 1227 × 1232) / 1
LCM(1227,1232) = 1511664 / 1
LCM(1227,1232) = 1511664

Properties of LCM 1227 and 1232

(i) The LCM of 1232 and 1227 is associative

LCM of 1227 and 1232 = LCM of 1232 and 1227

Related Least Common Multiples of 1227

Related Least Common Multiples of 1232

Frequently Asked Questions on LCM of 1227 and 1232

1. What is the LCM of 1227 and 1232?

Answer: LCM of 1227 and 1232 is 1511664.

2. What are the Factors of 1227?

Answer: Factors of 1227 are 1, 3, 409, 1227. There are 4 integers that are factors of 1227. The greatest factor of 1227 is 1227.

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 1227 and 1232?

Answer:

Least Common Multiple of 1227 and 1232 = 1511664

Step 1: Find the prime factorization of 1227

1227 = 3 x 409

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 = 1511664 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 409

Step 4: Therefore, the least common multiple of 1227 and 1232 is 1511664.