Least Common Multiple of 144390 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 144390 and 144396 the smallest integer that is 3474889740 that is divisible by both numbers.

Least Common Multiple (LCM) of 144390 and 144396 is 3474889740.

LCM(144390,144396) = 3474889740

LCM of 144390 and 144396

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

LCM of:
and

Least Common Multiple of 144390 and 144396

LCM of 144390 and 144396 is 3474889740

Least common multiple can be found by multiplying the highest exponent prime factors of 144390 and 144396. First we will calculate the prime factors of 144390 and 144396.

Prime Factorization of 144390


2 144390
3 72195
5 24065
4813 4813
1

Prime factors of 144390 are 2, 3, 5,4813. Prime factorization of 144390 in exponential form is:

144390 = 21×31×51×48131

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 144390 and 144396.

LCM(144390,144396) = 22×33×51×71×1911×48131
LCM(144390,144396) = 3474889740

Factors of 144390

List of positive integer factors of 144390 that divides 144390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390

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 144390 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 144390 and 144396, than apply into the LCM equation.

GCF(144390,144396) = 6
LCM(144390,144396) = ( 144390 × 144396) / 6
LCM(144390,144396) = 20849338440 / 6
LCM(144390,144396) = 3474889740

Properties of LCM 144390 and 144396

(i) The LCM of 144396 and 144390 is associative

LCM of 144390 and 144396 = LCM of 144396 and 144390

Related Least Common Multiples of 144390

Related Least Common Multiples of 144396

Frequently Asked Questions on LCM of 144390 and 144396

1. What is the LCM of 144390 and 144396?

Answer: LCM of 144390 and 144396 is 3474889740.

2. What are the Factors of 144390?

Answer: Factors of 144390 are 1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390. There are 16 integers that are factors of 144390. The greatest factor of 144390 is 144390.

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 144390 and 144396?

Answer:

Least Common Multiple of 144390 and 144396 = 3474889740

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

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 = 3474889740 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 191 x 4813

Step 4: Therefore, the least common multiple of 144390 and 144396 is 3474889740.