Least Common Multiple of 144394 and 144402

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 144402 the smallest integer that is 10425391194 that is divisible by both numbers.

Least Common Multiple (LCM) of 144394 and 144402 is 10425391194.

LCM(144394,144402) = 10425391194

LCM of 144394 and 144402

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

LCM of:
and

Least Common Multiple of 144394 and 144402

LCM of 144394 and 144402 is 10425391194

Least common multiple can be found by multiplying the highest exponent prime factors of 144394 and 144402. First we will calculate the prime factors of 144394 and 144402.

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 144402


2 144402
3 72201
41 24067
587 587
1

Prime factors of 144402 are 2, 3, 41,587. Prime factorization of 144402 in exponential form is:

144402 = 21×31×411×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 144394 and 144402.

LCM(144394,144402) = 21×31×231×411×431×731×5871
LCM(144394,144402) = 10425391194

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 144402

List of positive integer factors of 144402 that divides 144402 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402

Least Common Multiple of 144394 and 144402 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 144402, than apply into the LCM equation.

GCF(144394,144402) = 2
LCM(144394,144402) = ( 144394 × 144402) / 2
LCM(144394,144402) = 20850782388 / 2
LCM(144394,144402) = 10425391194

Properties of LCM 144394 and 144402

(i) The LCM of 144402 and 144394 is associative

LCM of 144394 and 144402 = LCM of 144402 and 144394

Related Least Common Multiples of 144394

Related Least Common Multiples of 144402

Frequently Asked Questions on LCM of 144394 and 144402

1. What is the LCM of 144394 and 144402?

Answer: LCM of 144394 and 144402 is 10425391194.

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 144402?

Answer: Factors of 144402 are 1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402. There are 16 integers that are factors of 144402. The greatest factor of 144402 is 144402.

4. How to Find the LCM of 144394 and 144402?

Answer:

Least Common Multiple of 144394 and 144402 = 10425391194

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

Step 2: Find the prime factorization of 144402

144402 = 2 x 3 x 41 x 587

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

LCM = 10425391194 = 2 x 3 x 23 x 41 x 43 x 73 x 587

Step 4: Therefore, the least common multiple of 144394 and 144402 is 10425391194.