Least Common Multiple of 144396 and 144404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144396 and 144404 the smallest integer that is 5212839996 that is divisible by both numbers.

Least Common Multiple (LCM) of 144396 and 144404 is 5212839996.

LCM(144396,144404) = 5212839996

LCM of 144396 and 144404

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

LCM of:
and

Least Common Multiple of 144396 and 144404

LCM of 144396 and 144404 is 5212839996

Least common multiple can be found by multiplying the highest exponent prime factors of 144396 and 144404. First we will calculate the prime factors of 144396 and 144404.

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

Prime Factorization of 144404


2 144404
2 72202
13 36101
2777 2777
1

Prime factors of 144404 are 2, 13,2777. Prime factorization of 144404 in exponential form is:

144404 = 22×131×27771

Now multiplying the highest exponent prime factors to calculate the LCM of 144396 and 144404.

LCM(144396,144404) = 22×33×71×131×1911×27771
LCM(144396,144404) = 5212839996

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

Factors of 144404

List of positive integer factors of 144404 that divides 144404 without a remainder.

1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404

Least Common Multiple of 144396 and 144404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144396 and 144404, than apply into the LCM equation.

GCF(144396,144404) = 4
LCM(144396,144404) = ( 144396 × 144404) / 4
LCM(144396,144404) = 20851359984 / 4
LCM(144396,144404) = 5212839996

Properties of LCM 144396 and 144404

(i) The LCM of 144404 and 144396 is associative

LCM of 144396 and 144404 = LCM of 144404 and 144396

Related Least Common Multiples of 144396

Related Least Common Multiples of 144404

Frequently Asked Questions on LCM of 144396 and 144404

1. What is the LCM of 144396 and 144404?

Answer: LCM of 144396 and 144404 is 5212839996.

2. 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.

3. What are the Factors of 144404?

Answer: Factors of 144404 are 1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404. There are 12 integers that are factors of 144404. The greatest factor of 144404 is 144404.

4. How to Find the LCM of 144396 and 144404?

Answer:

Least Common Multiple of 144396 and 144404 = 5212839996

Step 1: Find the prime factorization of 144396

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

Step 2: Find the prime factorization of 144404

144404 = 2 x 2 x 13 x 2777

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

LCM = 5212839996 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 191 x 2777

Step 4: Therefore, the least common multiple of 144396 and 144404 is 5212839996.