Least Common Multiple of 144398 and 144406

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 144406 the smallest integer that is 10425968794 that is divisible by both numbers.

Least Common Multiple (LCM) of 144398 and 144406 is 10425968794.

LCM(144398,144406) = 10425968794

LCM of 144398 and 144406

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

LCM of:
and

Least Common Multiple of 144398 and 144406

LCM of 144398 and 144406 is 10425968794

Least common multiple can be found by multiplying the highest exponent prime factors of 144398 and 144406. First we will calculate the prime factors of 144398 and 144406.

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 144406


2 144406
103 72203
701 701
1

Prime factors of 144406 are 2, 103,701. Prime factorization of 144406 in exponential form is:

144406 = 21×1031×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 144398 and 144406.

LCM(144398,144406) = 21×171×311×1031×1371×7011
LCM(144398,144406) = 10425968794

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 144406

List of positive integer factors of 144406 that divides 144406 without a remainder.

1, 2, 103, 206, 701, 1402, 72203, 144406

Least Common Multiple of 144398 and 144406 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 144406, than apply into the LCM equation.

GCF(144398,144406) = 2
LCM(144398,144406) = ( 144398 × 144406) / 2
LCM(144398,144406) = 20851937588 / 2
LCM(144398,144406) = 10425968794

Properties of LCM 144398 and 144406

(i) The LCM of 144406 and 144398 is associative

LCM of 144398 and 144406 = LCM of 144406 and 144398

Related Least Common Multiples of 144398

Related Least Common Multiples of 144406

Frequently Asked Questions on LCM of 144398 and 144406

1. What is the LCM of 144398 and 144406?

Answer: LCM of 144398 and 144406 is 10425968794.

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 144406?

Answer: Factors of 144406 are 1, 2, 103, 206, 701, 1402, 72203, 144406. There are 8 integers that are factors of 144406. The greatest factor of 144406 is 144406.

4. How to Find the LCM of 144398 and 144406?

Answer:

Least Common Multiple of 144398 and 144406 = 10425968794

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

Step 2: Find the prime factorization of 144406

144406 = 2 x 103 x 701

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

LCM = 10425968794 = 2 x 17 x 31 x 103 x 137 x 701

Step 4: Therefore, the least common multiple of 144398 and 144406 is 10425968794.