Least Common Multiple of 2332 and 2336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2332 and 2336 the smallest integer that is 1361888 that is divisible by both numbers.

Least Common Multiple (LCM) of 2332 and 2336 is 1361888.

LCM(2332,2336) = 1361888

LCM of 2332 and 2336

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

LCM of:
and

Least Common Multiple of 2332 and 2336

LCM of 2332 and 2336 is 1361888

Least common multiple can be found by multiplying the highest exponent prime factors of 2332 and 2336. First we will calculate the prime factors of 2332 and 2336.

Prime Factorization of 2332


2 2332
2 1166
11 583
53 53
1

Prime factors of 2332 are 2, 11,53. Prime factorization of 2332 in exponential form is:

2332 = 22×111×531

Prime Factorization of 2336


2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 2336 are 2,73. Prime factorization of 2336 in exponential form is:

2336 = 25×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2332 and 2336.

LCM(2332,2336) = 25×111×531×731
LCM(2332,2336) = 1361888

Factors of 2332

List of positive integer factors of 2332 that divides 2332 without a remainder.

1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332

Factors of 2336

List of positive integer factors of 2336 that divides 2336 without a remainder.

1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336

Least Common Multiple of 2332 and 2336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2332 and 2336, than apply into the LCM equation.

GCF(2332,2336) = 4
LCM(2332,2336) = ( 2332 × 2336) / 4
LCM(2332,2336) = 5447552 / 4
LCM(2332,2336) = 1361888

Properties of LCM 2332 and 2336

(i) The LCM of 2336 and 2332 is associative

LCM of 2332 and 2336 = LCM of 2336 and 2332

Related Least Common Multiples of 2332

Related Least Common Multiples of 2336

Frequently Asked Questions on LCM of 2332 and 2336

1. What is the LCM of 2332 and 2336?

Answer: LCM of 2332 and 2336 is 1361888.

2. What are the Factors of 2332?

Answer: Factors of 2332 are 1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332. There are 12 integers that are factors of 2332. The greatest factor of 2332 is 2332.

3. What are the Factors of 2336?

Answer: Factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336. There are 12 integers that are factors of 2336. The greatest factor of 2336 is 2336.

4. How to Find the LCM of 2332 and 2336?

Answer:

Least Common Multiple of 2332 and 2336 = 1361888

Step 1: Find the prime factorization of 2332

2332 = 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 2336

2336 = 2 x 2 x 2 x 2 x 2 x 73

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

LCM = 1361888 = 2 x 2 x 2 x 2 x 2 x 11 x 53 x 73

Step 4: Therefore, the least common multiple of 2332 and 2336 is 1361888.