Least Common Multiple of 144398 and 144402

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 144402 the smallest integer that is 10425679998 that is divisible by both numbers.

Least Common Multiple (LCM) of 144398 and 144402 is 10425679998.

LCM(144398,144402) = 10425679998

LCM of 144398 and 144402

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

LCM of:
and

Least Common Multiple of 144398 and 144402

LCM of 144398 and 144402 is 10425679998

Least common multiple can be found by multiplying the highest exponent prime factors of 144398 and 144402. First we will calculate the prime factors of 144398 and 144402.

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 144402


2 144402
3 72201
41 24067
587 587
1

Prime factors of 144402 are 2, 3, 41,587. Prime factorization of 144402 in exponential form is:

144402 = 21×31×411×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 144398 and 144402.

LCM(144398,144402) = 21×31×171×311×411×1371×5871
LCM(144398,144402) = 10425679998

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 144402

List of positive integer factors of 144402 that divides 144402 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402

Least Common Multiple of 144398 and 144402 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 144402, than apply into the LCM equation.

GCF(144398,144402) = 2
LCM(144398,144402) = ( 144398 × 144402) / 2
LCM(144398,144402) = 20851359996 / 2
LCM(144398,144402) = 10425679998

Properties of LCM 144398 and 144402

(i) The LCM of 144402 and 144398 is associative

LCM of 144398 and 144402 = LCM of 144402 and 144398

Related Least Common Multiples of 144398

Related Least Common Multiples of 144402

Frequently Asked Questions on LCM of 144398 and 144402

1. What is the LCM of 144398 and 144402?

Answer: LCM of 144398 and 144402 is 10425679998.

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 144402?

Answer: Factors of 144402 are 1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402. There are 16 integers that are factors of 144402. The greatest factor of 144402 is 144402.

4. How to Find the LCM of 144398 and 144402?

Answer:

Least Common Multiple of 144398 and 144402 = 10425679998

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

Step 2: Find the prime factorization of 144402

144402 = 2 x 3 x 41 x 587

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

LCM = 10425679998 = 2 x 3 x 17 x 31 x 41 x 137 x 587

Step 4: Therefore, the least common multiple of 144398 and 144402 is 10425679998.