Least Common Multiple of 144346 and 144354

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 144354 the smallest integer that is 10418461242 that is divisible by both numbers.

Least Common Multiple (LCM) of 144346 and 144354 is 10418461242.

LCM(144346,144354) = 10418461242

LCM of 144346 and 144354

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

LCM of:
and

Least Common Multiple of 144346 and 144354

LCM of 144346 and 144354 is 10418461242

Least common multiple can be found by multiplying the highest exponent prime factors of 144346 and 144354. First we will calculate the prime factors of 144346 and 144354.

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 144354


2 144354
3 72177
7 24059
7 3437
491 491
1

Prime factors of 144354 are 2, 3, 7,491. Prime factorization of 144354 in exponential form is:

144354 = 21×31×72×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 144346 and 144354.

LCM(144346,144354) = 21×31×72×4911×721731
LCM(144346,144354) = 10418461242

Factors of 144346

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

1, 2, 72173, 144346

Factors of 144354

List of positive integer factors of 144354 that divides 144354 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 491, 982, 1473, 2946, 3437, 6874, 10311, 20622, 24059, 48118, 72177, 144354

Least Common Multiple of 144346 and 144354 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 144354, than apply into the LCM equation.

GCF(144346,144354) = 2
LCM(144346,144354) = ( 144346 × 144354) / 2
LCM(144346,144354) = 20836922484 / 2
LCM(144346,144354) = 10418461242

Properties of LCM 144346 and 144354

(i) The LCM of 144354 and 144346 is associative

LCM of 144346 and 144354 = LCM of 144354 and 144346

Related Least Common Multiples of 144346

Related Least Common Multiples of 144354

Frequently Asked Questions on LCM of 144346 and 144354

1. What is the LCM of 144346 and 144354?

Answer: LCM of 144346 and 144354 is 10418461242.

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 144354?

Answer: Factors of 144354 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 491, 982, 1473, 2946, 3437, 6874, 10311, 20622, 24059, 48118, 72177, 144354. There are 24 integers that are factors of 144354. The greatest factor of 144354 is 144354.

4. How to Find the LCM of 144346 and 144354?

Answer:

Least Common Multiple of 144346 and 144354 = 10418461242

Step 1: Find the prime factorization of 144346

144346 = 2 x 72173

Step 2: Find the prime factorization of 144354

144354 = 2 x 3 x 7 x 7 x 491

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

LCM = 10418461242 = 2 x 3 x 7 x 7 x 491 x 72173

Step 4: Therefore, the least common multiple of 144346 and 144354 is 10418461242.