Least Common Multiple of 144392 and 144399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144392 and 144399 the smallest integer that is 20850060408 that is divisible by both numbers.

Least Common Multiple (LCM) of 144392 and 144399 is 20850060408.

LCM(144392,144399) = 20850060408

LCM of 144392 and 144399

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

LCM of:
and

Least Common Multiple of 144392 and 144399

LCM of 144392 and 144399 is 20850060408

Least common multiple can be found by multiplying the highest exponent prime factors of 144392 and 144399. First we will calculate the prime factors of 144392 and 144399.

Prime Factorization of 144392


2 144392
2 72196
2 36098
18049 18049
1

Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:

144392 = 23×180491

Prime Factorization of 144399


3 144399
127 48133
379 379
1

Prime factors of 144399 are 3, 127,379. Prime factorization of 144399 in exponential form is:

144399 = 31×1271×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 144392 and 144399.

LCM(144392,144399) = 23×31×1271×3791×180491
LCM(144392,144399) = 20850060408

Factors of 144392

List of positive integer factors of 144392 that divides 144392 without a remainder.

1, 2, 4, 8, 18049, 36098, 72196, 144392

Factors of 144399

List of positive integer factors of 144399 that divides 144399 without a remainder.

1, 3, 127, 379, 381, 1137, 48133, 144399

Least Common Multiple of 144392 and 144399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144392 and 144399, than apply into the LCM equation.

GCF(144392,144399) = 1
LCM(144392,144399) = ( 144392 × 144399) / 1
LCM(144392,144399) = 20850060408 / 1
LCM(144392,144399) = 20850060408

Properties of LCM 144392 and 144399

(i) The LCM of 144399 and 144392 is associative

LCM of 144392 and 144399 = LCM of 144399 and 144392

Related Least Common Multiples of 144392

Related Least Common Multiples of 144399

Frequently Asked Questions on LCM of 144392 and 144399

1. What is the LCM of 144392 and 144399?

Answer: LCM of 144392 and 144399 is 20850060408.

2. What are the Factors of 144392?

Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.

3. What are the Factors of 144399?

Answer: Factors of 144399 are 1, 3, 127, 379, 381, 1137, 48133, 144399. There are 8 integers that are factors of 144399. The greatest factor of 144399 is 144399.

4. How to Find the LCM of 144392 and 144399?

Answer:

Least Common Multiple of 144392 and 144399 = 20850060408

Step 1: Find the prime factorization of 144392

144392 = 2 x 2 x 2 x 18049

Step 2: Find the prime factorization of 144399

144399 = 3 x 127 x 379

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

LCM = 20850060408 = 2 x 2 x 2 x 3 x 127 x 379 x 18049

Step 4: Therefore, the least common multiple of 144392 and 144399 is 20850060408.