Least Common Multiple of 1226 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 1226 and 1232 the smallest integer that is 755216 that is divisible by both numbers.

Least Common Multiple (LCM) of 1226 and 1232 is 755216.

LCM(1226,1232) = 755216

LCM of 1226 and 1232

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

LCM of:
and

Least Common Multiple of 1226 and 1232

LCM of 1226 and 1232 is 755216

Least common multiple can be found by multiplying the highest exponent prime factors of 1226 and 1232. First we will calculate the prime factors of 1226 and 1232.

Prime Factorization of 1226


2 1226
613 613
1

Prime factors of 1226 are 2,613. Prime factorization of 1226 in exponential form is:

1226 = 21×6131

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 1226 and 1232.

LCM(1226,1232) = 24×71×111×6131
LCM(1226,1232) = 755216

Factors of 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1, 2, 613, 1226

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 1226 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 1226 and 1232, than apply into the LCM equation.

GCF(1226,1232) = 2
LCM(1226,1232) = ( 1226 × 1232) / 2
LCM(1226,1232) = 1510432 / 2
LCM(1226,1232) = 755216

Properties of LCM 1226 and 1232

(i) The LCM of 1232 and 1226 is associative

LCM of 1226 and 1232 = LCM of 1232 and 1226

Related Least Common Multiples of 1226

Related Least Common Multiples of 1232

Frequently Asked Questions on LCM of 1226 and 1232

1. What is the LCM of 1226 and 1232?

Answer: LCM of 1226 and 1232 is 755216.

2. What are the Factors of 1226?

Answer: Factors of 1226 are 1, 2, 613, 1226. There are 4 integers that are factors of 1226. The greatest factor of 1226 is 1226.

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 1226 and 1232?

Answer:

Least Common Multiple of 1226 and 1232 = 755216

Step 1: Find the prime factorization of 1226

1226 = 2 x 613

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 = 755216 = 2 x 2 x 2 x 2 x 7 x 11 x 613

Step 4: Therefore, the least common multiple of 1226 and 1232 is 755216.