Least Common Multiple of 144351 and 144358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144351 and 144358 the smallest integer that is 20838221658 that is divisible by both numbers.

Least Common Multiple (LCM) of 144351 and 144358 is 20838221658.

LCM(144351,144358) = 20838221658

LCM of 144351 and 144358

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

LCM of:
and

Least Common Multiple of 144351 and 144358

LCM of 144351 and 144358 is 20838221658

Least common multiple can be found by multiplying the highest exponent prime factors of 144351 and 144358. First we will calculate the prime factors of 144351 and 144358.

Prime Factorization of 144351


3 144351
3 48117
43 16039
373 373
1

Prime factors of 144351 are 3, 43,373. Prime factorization of 144351 in exponential form is:

144351 = 32×431×3731

Prime Factorization of 144358


2 144358
89 72179
811 811
1

Prime factors of 144358 are 2, 89,811. Prime factorization of 144358 in exponential form is:

144358 = 21×891×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 144351 and 144358.

LCM(144351,144358) = 21×32×431×891×3731×8111
LCM(144351,144358) = 20838221658

Factors of 144351

List of positive integer factors of 144351 that divides 144351 without a remainder.

1, 3, 9, 43, 129, 373, 387, 1119, 3357, 16039, 48117, 144351

Factors of 144358

List of positive integer factors of 144358 that divides 144358 without a remainder.

1, 2, 89, 178, 811, 1622, 72179, 144358

Least Common Multiple of 144351 and 144358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144351 and 144358, than apply into the LCM equation.

GCF(144351,144358) = 1
LCM(144351,144358) = ( 144351 × 144358) / 1
LCM(144351,144358) = 20838221658 / 1
LCM(144351,144358) = 20838221658

Properties of LCM 144351 and 144358

(i) The LCM of 144358 and 144351 is associative

LCM of 144351 and 144358 = LCM of 144358 and 144351

Related Least Common Multiples of 144351

Related Least Common Multiples of 144358

Frequently Asked Questions on LCM of 144351 and 144358

1. What is the LCM of 144351 and 144358?

Answer: LCM of 144351 and 144358 is 20838221658.

2. What are the Factors of 144351?

Answer: Factors of 144351 are 1, 3, 9, 43, 129, 373, 387, 1119, 3357, 16039, 48117, 144351. There are 12 integers that are factors of 144351. The greatest factor of 144351 is 144351.

3. What are the Factors of 144358?

Answer: Factors of 144358 are 1, 2, 89, 178, 811, 1622, 72179, 144358. There are 8 integers that are factors of 144358. The greatest factor of 144358 is 144358.

4. How to Find the LCM of 144351 and 144358?

Answer:

Least Common Multiple of 144351 and 144358 = 20838221658

Step 1: Find the prime factorization of 144351

144351 = 3 x 3 x 43 x 373

Step 2: Find the prime factorization of 144358

144358 = 2 x 89 x 811

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

LCM = 20838221658 = 2 x 3 x 3 x 43 x 89 x 373 x 811

Step 4: Therefore, the least common multiple of 144351 and 144358 is 20838221658.