Least Common Multiple of 144394 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 144394 and 144396 the smallest integer that is 10424958012 that is divisible by both numbers.

Least Common Multiple (LCM) of 144394 and 144396 is 10424958012.

LCM(144394,144396) = 10424958012

LCM of 144394 and 144396

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

LCM of:
and

Least Common Multiple of 144394 and 144396

LCM of 144394 and 144396 is 10424958012

Least common multiple can be found by multiplying the highest exponent prime factors of 144394 and 144396. First we will calculate the prime factors of 144394 and 144396.

Prime Factorization of 144394


2 144394
23 72197
43 3139
73 73
1

Prime factors of 144394 are 2, 23, 43,73. Prime factorization of 144394 in exponential form is:

144394 = 21×231×431×731

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 144394 and 144396.

LCM(144394,144396) = 22×33×71×231×431×731×1911
LCM(144394,144396) = 10424958012

Factors of 144394

List of positive integer factors of 144394 that divides 144394 without a remainder.

1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394

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 144394 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 144394 and 144396, than apply into the LCM equation.

GCF(144394,144396) = 2
LCM(144394,144396) = ( 144394 × 144396) / 2
LCM(144394,144396) = 20849916024 / 2
LCM(144394,144396) = 10424958012

Properties of LCM 144394 and 144396

(i) The LCM of 144396 and 144394 is associative

LCM of 144394 and 144396 = LCM of 144396 and 144394

Related Least Common Multiples of 144394

Related Least Common Multiples of 144396

Frequently Asked Questions on LCM of 144394 and 144396

1. What is the LCM of 144394 and 144396?

Answer: LCM of 144394 and 144396 is 10424958012.

2. What are the Factors of 144394?

Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.

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 144394 and 144396?

Answer:

Least Common Multiple of 144394 and 144396 = 10424958012

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

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 = 10424958012 = 2 x 2 x 3 x 3 x 3 x 7 x 23 x 43 x 73 x 191

Step 4: Therefore, the least common multiple of 144394 and 144396 is 10424958012.