Least Common Multiple of 144376 and 144384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144376 and 144384 the smallest integer that is 2605698048 that is divisible by both numbers.

Least Common Multiple (LCM) of 144376 and 144384 is 2605698048.

LCM(144376,144384) = 2605698048

LCM of 144376 and 144384

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

LCM of:
and

Least Common Multiple of 144376 and 144384

LCM of 144376 and 144384 is 2605698048

Least common multiple can be found by multiplying the highest exponent prime factors of 144376 and 144384. First we will calculate the prime factors of 144376 and 144384.

Prime Factorization of 144376


2 144376
2 72188
2 36094
18047 18047
1

Prime factors of 144376 are 2,18047. Prime factorization of 144376 in exponential form is:

144376 = 23×180471

Prime Factorization of 144384


2 144384
2 72192
2 36096
2 18048
2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 144384 are 2, 3,47. Prime factorization of 144384 in exponential form is:

144384 = 210×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 144376 and 144384.

LCM(144376,144384) = 210×31×471×180471
LCM(144376,144384) = 2605698048

Factors of 144376

List of positive integer factors of 144376 that divides 144376 without a remainder.

1, 2, 4, 8, 18047, 36094, 72188, 144376

Factors of 144384

List of positive integer factors of 144384 that divides 144384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 512, 564, 752, 768, 1024, 1128, 1504, 1536, 2256, 3008, 3072, 4512, 6016, 9024, 12032, 18048, 24064, 36096, 48128, 72192, 144384

Least Common Multiple of 144376 and 144384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144376 and 144384, than apply into the LCM equation.

GCF(144376,144384) = 8
LCM(144376,144384) = ( 144376 × 144384) / 8
LCM(144376,144384) = 20845584384 / 8
LCM(144376,144384) = 2605698048

Properties of LCM 144376 and 144384

(i) The LCM of 144384 and 144376 is associative

LCM of 144376 and 144384 = LCM of 144384 and 144376

Related Least Common Multiples of 144376

Related Least Common Multiples of 144384

Frequently Asked Questions on LCM of 144376 and 144384

1. What is the LCM of 144376 and 144384?

Answer: LCM of 144376 and 144384 is 2605698048.

2. What are the Factors of 144376?

Answer: Factors of 144376 are 1, 2, 4, 8, 18047, 36094, 72188, 144376. There are 8 integers that are factors of 144376. The greatest factor of 144376 is 144376.

3. What are the Factors of 144384?

Answer: Factors of 144384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 512, 564, 752, 768, 1024, 1128, 1504, 1536, 2256, 3008, 3072, 4512, 6016, 9024, 12032, 18048, 24064, 36096, 48128, 72192, 144384. There are 44 integers that are factors of 144384. The greatest factor of 144384 is 144384.

4. How to Find the LCM of 144376 and 144384?

Answer:

Least Common Multiple of 144376 and 144384 = 2605698048

Step 1: Find the prime factorization of 144376

144376 = 2 x 2 x 2 x 18047

Step 2: Find the prime factorization of 144384

144384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

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

LCM = 2605698048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 18047

Step 4: Therefore, the least common multiple of 144376 and 144384 is 2605698048.