Least Common Multiple of 23384 and 23392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23384 and 23392 the smallest integer that is 68374816 that is divisible by both numbers.

Least Common Multiple (LCM) of 23384 and 23392 is 68374816.

LCM(23384,23392) = 68374816

LCM of 23384 and 23392

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

LCM of:
and

Least Common Multiple of 23384 and 23392

LCM of 23384 and 23392 is 68374816

Least common multiple can be found by multiplying the highest exponent prime factors of 23384 and 23392. First we will calculate the prime factors of 23384 and 23392.

Prime Factorization of 23384


2 23384
2 11692
2 5846
37 2923
79 79
1

Prime factors of 23384 are 2, 37,79. Prime factorization of 23384 in exponential form is:

23384 = 23×371×791

Prime Factorization of 23392


2 23392
2 11696
2 5848
2 2924
2 1462
17 731
43 43
1

Prime factors of 23392 are 2, 17,43. Prime factorization of 23392 in exponential form is:

23392 = 25×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 23384 and 23392.

LCM(23384,23392) = 25×171×371×431×791
LCM(23384,23392) = 68374816

Factors of 23384

List of positive integer factors of 23384 that divides 23384 without a remainder.

1, 2, 4, 8, 37, 74, 79, 148, 158, 296, 316, 632, 2923, 5846, 11692, 23384

Factors of 23392

List of positive integer factors of 23392 that divides 23392 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 43, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1376, 1462, 2924, 5848, 11696, 23392

Least Common Multiple of 23384 and 23392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23384 and 23392, than apply into the LCM equation.

GCF(23384,23392) = 8
LCM(23384,23392) = ( 23384 × 23392) / 8
LCM(23384,23392) = 546998528 / 8
LCM(23384,23392) = 68374816

Properties of LCM 23384 and 23392

(i) The LCM of 23392 and 23384 is associative

LCM of 23384 and 23392 = LCM of 23392 and 23384

Related Least Common Multiples of 23384

Related Least Common Multiples of 23392

Frequently Asked Questions on LCM of 23384 and 23392

1. What is the LCM of 23384 and 23392?

Answer: LCM of 23384 and 23392 is 68374816.

2. What are the Factors of 23384?

Answer: Factors of 23384 are 1, 2, 4, 8, 37, 74, 79, 148, 158, 296, 316, 632, 2923, 5846, 11692, 23384. There are 16 integers that are factors of 23384. The greatest factor of 23384 is 23384.

3. What are the Factors of 23392?

Answer: Factors of 23392 are 1, 2, 4, 8, 16, 17, 32, 34, 43, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1376, 1462, 2924, 5848, 11696, 23392. There are 24 integers that are factors of 23392. The greatest factor of 23392 is 23392.

4. How to Find the LCM of 23384 and 23392?

Answer:

Least Common Multiple of 23384 and 23392 = 68374816

Step 1: Find the prime factorization of 23384

23384 = 2 x 2 x 2 x 37 x 79

Step 2: Find the prime factorization of 23392

23392 = 2 x 2 x 2 x 2 x 2 x 17 x 43

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

LCM = 68374816 = 2 x 2 x 2 x 2 x 2 x 17 x 37 x 43 x 79

Step 4: Therefore, the least common multiple of 23384 and 23392 is 68374816.