Least Common Multiple of 144389 and 144396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144389 and 144396 the smallest integer that is 2978456292 that is divisible by both numbers.

Least Common Multiple (LCM) of 144389 and 144396 is 2978456292.

LCM(144389,144396) = 2978456292

LCM of 144389 and 144396

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

LCM of:
and

Least Common Multiple of 144389 and 144396

LCM of 144389 and 144396 is 2978456292

Least common multiple can be found by multiplying the highest exponent prime factors of 144389 and 144396. First we will calculate the prime factors of 144389 and 144396.

Prime Factorization of 144389


7 144389
20627 20627
1

Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:

144389 = 71×206271

Prime Factorization of 144396


2 144396
2 72198
3 36099
3 12033
3 4011
7 1337
191 191
1

Prime factors of 144396 are 2, 3, 7,191. Prime factorization of 144396 in exponential form is:

144396 = 22×33×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144396.

LCM(144389,144396) = 22×33×71×1911×206271
LCM(144389,144396) = 2978456292

Factors of 144389

List of positive integer factors of 144389 that divides 144389 without a remainder.

1, 7, 20627, 144389

Factors of 144396

List of positive integer factors of 144396 that divides 144396 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396

Least Common Multiple of 144389 and 144396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144389 and 144396, than apply into the LCM equation.

GCF(144389,144396) = 7
LCM(144389,144396) = ( 144389 × 144396) / 7
LCM(144389,144396) = 20849194044 / 7
LCM(144389,144396) = 2978456292

Properties of LCM 144389 and 144396

(i) The LCM of 144396 and 144389 is associative

LCM of 144389 and 144396 = LCM of 144396 and 144389

Related Least Common Multiples of 144389

Related Least Common Multiples of 144396

Frequently Asked Questions on LCM of 144389 and 144396

1. What is the LCM of 144389 and 144396?

Answer: LCM of 144389 and 144396 is 2978456292.

2. What are the Factors of 144389?

Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.

3. What are the Factors of 144396?

Answer: Factors of 144396 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396. There are 48 integers that are factors of 144396. The greatest factor of 144396 is 144396.

4. How to Find the LCM of 144389 and 144396?

Answer:

Least Common Multiple of 144389 and 144396 = 2978456292

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

Step 2: Find the prime factorization of 144396

144396 = 2 x 2 x 3 x 3 x 3 x 7 x 191

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

LCM = 2978456292 = 2 x 2 x 3 x 3 x 3 x 7 x 191 x 20627

Step 4: Therefore, the least common multiple of 144389 and 144396 is 2978456292.