Least Common Multiple of 144388 and 144394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144388 and 144394 the smallest integer that is 10424380436 that is divisible by both numbers.

Least Common Multiple (LCM) of 144388 and 144394 is 10424380436.

LCM(144388,144394) = 10424380436

LCM of 144388 and 144394

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

LCM of:
and

Least Common Multiple of 144388 and 144394

LCM of 144388 and 144394 is 10424380436

Least common multiple can be found by multiplying the highest exponent prime factors of 144388 and 144394. First we will calculate the prime factors of 144388 and 144394.

Prime Factorization of 144388


2 144388
2 72194
36097 36097
1

Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:

144388 = 22×360971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 144388 and 144394.

LCM(144388,144394) = 22×231×431×731×360971
LCM(144388,144394) = 10424380436

Factors of 144388

List of positive integer factors of 144388 that divides 144388 without a remainder.

1, 2, 4, 36097, 72194, 144388

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

Least Common Multiple of 144388 and 144394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144388 and 144394, than apply into the LCM equation.

GCF(144388,144394) = 2
LCM(144388,144394) = ( 144388 × 144394) / 2
LCM(144388,144394) = 20848760872 / 2
LCM(144388,144394) = 10424380436

Properties of LCM 144388 and 144394

(i) The LCM of 144394 and 144388 is associative

LCM of 144388 and 144394 = LCM of 144394 and 144388

Related Least Common Multiples of 144388

Related Least Common Multiples of 144394

Frequently Asked Questions on LCM of 144388 and 144394

1. What is the LCM of 144388 and 144394?

Answer: LCM of 144388 and 144394 is 10424380436.

2. What are the Factors of 144388?

Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.

3. 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.

4. How to Find the LCM of 144388 and 144394?

Answer:

Least Common Multiple of 144388 and 144394 = 10424380436

Step 1: Find the prime factorization of 144388

144388 = 2 x 2 x 36097

Step 2: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

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

LCM = 10424380436 = 2 x 2 x 23 x 43 x 73 x 36097

Step 4: Therefore, the least common multiple of 144388 and 144394 is 10424380436.