Least Common Multiple of 1229 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 1229 and 1232 the smallest integer that is 1514128 that is divisible by both numbers.

Least Common Multiple (LCM) of 1229 and 1232 is 1514128.

LCM(1229,1232) = 1514128

LCM of 1229 and 1232

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

LCM of:
and

Least Common Multiple of 1229 and 1232

LCM of 1229 and 1232 is 1514128

Least common multiple can be found by multiplying the highest exponent prime factors of 1229 and 1232. First we will calculate the prime factors of 1229 and 1232.

Prime Factorization of 1229


1229 1229
1

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

1229 = 12291

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 1229 and 1232.

LCM(1229,1232) = 24×71×111×12291
LCM(1229,1232) = 1514128

Factors of 1229

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

1, 1229

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 1229 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 1229 and 1232, than apply into the LCM equation.

GCF(1229,1232) = 1
LCM(1229,1232) = ( 1229 × 1232) / 1
LCM(1229,1232) = 1514128 / 1
LCM(1229,1232) = 1514128

Properties of LCM 1229 and 1232

(i) The LCM of 1232 and 1229 is associative

LCM of 1229 and 1232 = LCM of 1232 and 1229

Related Least Common Multiples of 1229

Related Least Common Multiples of 1232

Frequently Asked Questions on LCM of 1229 and 1232

1. What is the LCM of 1229 and 1232?

Answer: LCM of 1229 and 1232 is 1514128.

2. 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.

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 1229 and 1232?

Answer:

Least Common Multiple of 1229 and 1232 = 1514128

Step 1: Find the prime factorization of 1229

1229 = 1229

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 = 1514128 = 2 x 2 x 2 x 2 x 7 x 11 x 1229

Step 4: Therefore, the least common multiple of 1229 and 1232 is 1514128.