Least Common Multiple of 144398 and 144405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144398 and 144405 the smallest integer that is 20851793190 that is divisible by both numbers.

Least Common Multiple (LCM) of 144398 and 144405 is 20851793190.

LCM(144398,144405) = 20851793190

LCM of 144398 and 144405

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

LCM of:
and

Least Common Multiple of 144398 and 144405

LCM of 144398 and 144405 is 20851793190

Least common multiple can be found by multiplying the highest exponent prime factors of 144398 and 144405. First we will calculate the prime factors of 144398 and 144405.

Prime Factorization of 144398


2 144398
17 72199
31 4247
137 137
1

Prime factors of 144398 are 2, 17, 31,137. Prime factorization of 144398 in exponential form is:

144398 = 21×171×311×1371

Prime Factorization of 144405


3 144405
3 48135
5 16045
3209 3209
1

Prime factors of 144405 are 3, 5,3209. Prime factorization of 144405 in exponential form is:

144405 = 32×51×32091

Now multiplying the highest exponent prime factors to calculate the LCM of 144398 and 144405.

LCM(144398,144405) = 21×32×51×171×311×1371×32091
LCM(144398,144405) = 20851793190

Factors of 144398

List of positive integer factors of 144398 that divides 144398 without a remainder.

1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398

Factors of 144405

List of positive integer factors of 144405 that divides 144405 without a remainder.

1, 3, 5, 9, 15, 45, 3209, 9627, 16045, 28881, 48135, 144405

Least Common Multiple of 144398 and 144405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144398 and 144405, than apply into the LCM equation.

GCF(144398,144405) = 1
LCM(144398,144405) = ( 144398 × 144405) / 1
LCM(144398,144405) = 20851793190 / 1
LCM(144398,144405) = 20851793190

Properties of LCM 144398 and 144405

(i) The LCM of 144405 and 144398 is associative

LCM of 144398 and 144405 = LCM of 144405 and 144398

Related Least Common Multiples of 144398

Related Least Common Multiples of 144405

Frequently Asked Questions on LCM of 144398 and 144405

1. What is the LCM of 144398 and 144405?

Answer: LCM of 144398 and 144405 is 20851793190.

2. What are the Factors of 144398?

Answer: Factors of 144398 are 1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398. There are 16 integers that are factors of 144398. The greatest factor of 144398 is 144398.

3. What are the Factors of 144405?

Answer: Factors of 144405 are 1, 3, 5, 9, 15, 45, 3209, 9627, 16045, 28881, 48135, 144405. There are 12 integers that are factors of 144405. The greatest factor of 144405 is 144405.

4. How to Find the LCM of 144398 and 144405?

Answer:

Least Common Multiple of 144398 and 144405 = 20851793190

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

Step 2: Find the prime factorization of 144405

144405 = 3 x 3 x 5 x 3209

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

LCM = 20851793190 = 2 x 3 x 3 x 5 x 17 x 31 x 137 x 3209

Step 4: Therefore, the least common multiple of 144398 and 144405 is 20851793190.