Least Common Multiple of 144346 and 144349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144346 and 144349 the smallest integer that is 20836200754 that is divisible by both numbers.

Least Common Multiple (LCM) of 144346 and 144349 is 20836200754.

LCM(144346,144349) = 20836200754

LCM of 144346 and 144349

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

LCM of:
and

Least Common Multiple of 144346 and 144349

LCM of 144346 and 144349 is 20836200754

Least common multiple can be found by multiplying the highest exponent prime factors of 144346 and 144349. First we will calculate the prime factors of 144346 and 144349.

Prime Factorization of 144346


2 144346
72173 72173
1

Prime factors of 144346 are 2,72173. Prime factorization of 144346 in exponential form is:

144346 = 21×721731

Prime Factorization of 144349


144349 144349
1

Prime factors of 144349 are 144349. Prime factorization of 144349 in exponential form is:

144349 = 1443491

Now multiplying the highest exponent prime factors to calculate the LCM of 144346 and 144349.

LCM(144346,144349) = 21×721731×1443491
LCM(144346,144349) = 20836200754

Factors of 144346

List of positive integer factors of 144346 that divides 144346 without a remainder.

1, 2, 72173, 144346

Factors of 144349

List of positive integer factors of 144349 that divides 144349 without a remainder.

1, 144349

Least Common Multiple of 144346 and 144349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144346 and 144349, than apply into the LCM equation.

GCF(144346,144349) = 1
LCM(144346,144349) = ( 144346 × 144349) / 1
LCM(144346,144349) = 20836200754 / 1
LCM(144346,144349) = 20836200754

Properties of LCM 144346 and 144349

(i) The LCM of 144349 and 144346 is associative

LCM of 144346 and 144349 = LCM of 144349 and 144346

Related Least Common Multiples of 144346

Related Least Common Multiples of 144349

Frequently Asked Questions on LCM of 144346 and 144349

1. What is the LCM of 144346 and 144349?

Answer: LCM of 144346 and 144349 is 20836200754.

2. What are the Factors of 144346?

Answer: Factors of 144346 are 1, 2, 72173, 144346. There are 4 integers that are factors of 144346. The greatest factor of 144346 is 144346.

3. What are the Factors of 144349?

Answer: Factors of 144349 are 1, 144349. There are 2 integers that are factors of 144349. The greatest factor of 144349 is 144349.

4. How to Find the LCM of 144346 and 144349?

Answer:

Least Common Multiple of 144346 and 144349 = 20836200754

Step 1: Find the prime factorization of 144346

144346 = 2 x 72173

Step 2: Find the prime factorization of 144349

144349 = 144349

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

LCM = 20836200754 = 2 x 72173 x 144349

Step 4: Therefore, the least common multiple of 144346 and 144349 is 20836200754.