Least Common Multiple of 1232 and 1236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1232 and 1236 the smallest integer that is 380688 that is divisible by both numbers.

Least Common Multiple (LCM) of 1232 and 1236 is 380688.

LCM(1232,1236) = 380688

LCM of 1232 and 1236

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

LCM of:
and

Least Common Multiple of 1232 and 1236

LCM of 1232 and 1236 is 380688

Least common multiple can be found by multiplying the highest exponent prime factors of 1232 and 1236. First we will calculate the prime factors of 1232 and 1236.

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

Prime Factorization of 1236


2 1236
2 618
3 309
103 103
1

Prime factors of 1236 are 2, 3,103. Prime factorization of 1236 in exponential form is:

1236 = 22×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1232 and 1236.

LCM(1232,1236) = 24×31×71×111×1031
LCM(1232,1236) = 380688

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

Factors of 1236

List of positive integer factors of 1236 that divides 1236 without a remainder.

1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236

Least Common Multiple of 1232 and 1236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1232 and 1236, than apply into the LCM equation.

GCF(1232,1236) = 4
LCM(1232,1236) = ( 1232 × 1236) / 4
LCM(1232,1236) = 1522752 / 4
LCM(1232,1236) = 380688

Properties of LCM 1232 and 1236

(i) The LCM of 1236 and 1232 is associative

LCM of 1232 and 1236 = LCM of 1236 and 1232

Related Least Common Multiples of 1232

Related Least Common Multiples of 1236

Frequently Asked Questions on LCM of 1232 and 1236

1. What is the LCM of 1232 and 1236?

Answer: LCM of 1232 and 1236 is 380688.

2. 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.

3. What are the Factors of 1236?

Answer: Factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236. There are 12 integers that are factors of 1236. The greatest factor of 1236 is 1236.

4. How to Find the LCM of 1232 and 1236?

Answer:

Least Common Multiple of 1232 and 1236 = 380688

Step 1: Find the prime factorization of 1232

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

Step 2: Find the prime factorization of 1236

1236 = 2 x 2 x 3 x 103

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

LCM = 380688 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 1232 and 1236 is 380688.