Least Common Multiple of 144390 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 144390 and 144394 the smallest integer that is 10424524830 that is divisible by both numbers.

Least Common Multiple (LCM) of 144390 and 144394 is 10424524830.

LCM(144390,144394) = 10424524830

LCM of 144390 and 144394

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

LCM of:
and

Least Common Multiple of 144390 and 144394

LCM of 144390 and 144394 is 10424524830

Least common multiple can be found by multiplying the highest exponent prime factors of 144390 and 144394. First we will calculate the prime factors of 144390 and 144394.

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 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 144390 and 144394.

LCM(144390,144394) = 21×31×51×231×431×731×48131
LCM(144390,144394) = 10424524830

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 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 144390 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 144390 and 144394, than apply into the LCM equation.

GCF(144390,144394) = 2
LCM(144390,144394) = ( 144390 × 144394) / 2
LCM(144390,144394) = 20849049660 / 2
LCM(144390,144394) = 10424524830

Properties of LCM 144390 and 144394

(i) The LCM of 144394 and 144390 is associative

LCM of 144390 and 144394 = LCM of 144394 and 144390

Related Least Common Multiples of 144390

Related Least Common Multiples of 144394

Frequently Asked Questions on LCM of 144390 and 144394

1. What is the LCM of 144390 and 144394?

Answer: LCM of 144390 and 144394 is 10424524830.

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 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 144390 and 144394?

Answer:

Least Common Multiple of 144390 and 144394 = 10424524830

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

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 = 10424524830 = 2 x 3 x 5 x 23 x 43 x 73 x 4813

Step 4: Therefore, the least common multiple of 144390 and 144394 is 10424524830.