Least Common Multiple of 1231 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 1231 and 1232 the smallest integer that is 1516592 that is divisible by both numbers.

Least Common Multiple (LCM) of 1231 and 1232 is 1516592.

LCM(1231,1232) = 1516592

LCM of 1231 and 1232

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

LCM of:
and

Least Common Multiple of 1231 and 1232

LCM of 1231 and 1232 is 1516592

Least common multiple can be found by multiplying the highest exponent prime factors of 1231 and 1232. First we will calculate the prime factors of 1231 and 1232.

Prime Factorization of 1231


1231 1231
1

Prime factors of 1231 are 1231. Prime factorization of 1231 in exponential form is:

1231 = 12311

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 1231 and 1232.

LCM(1231,1232) = 24×71×111×12311
LCM(1231,1232) = 1516592

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1, 1231

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 1231 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 1231 and 1232, than apply into the LCM equation.

GCF(1231,1232) = 1
LCM(1231,1232) = ( 1231 × 1232) / 1
LCM(1231,1232) = 1516592 / 1
LCM(1231,1232) = 1516592

Properties of LCM 1231 and 1232

(i) The LCM of 1232 and 1231 is associative

LCM of 1231 and 1232 = LCM of 1232 and 1231

Related Least Common Multiples of 1231

Related Least Common Multiples of 1232

Frequently Asked Questions on LCM of 1231 and 1232

1. What is the LCM of 1231 and 1232?

Answer: LCM of 1231 and 1232 is 1516592.

2. What are the Factors of 1231?

Answer: Factors of 1231 are 1, 1231. There are 2 integers that are factors of 1231. The greatest factor of 1231 is 1231.

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 1231 and 1232?

Answer:

Least Common Multiple of 1231 and 1232 = 1516592

Step 1: Find the prime factorization of 1231

1231 = 1231

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 = 1516592 = 2 x 2 x 2 x 2 x 7 x 11 x 1231

Step 4: Therefore, the least common multiple of 1231 and 1232 is 1516592.