Least Common Multiple of 144402 and 144410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144402 and 144410 the smallest integer that is 10426546410 that is divisible by both numbers.

Least Common Multiple (LCM) of 144402 and 144410 is 10426546410.

LCM(144402,144410) = 10426546410

LCM of 144402 and 144410

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

LCM of:
and

Least Common Multiple of 144402 and 144410

LCM of 144402 and 144410 is 10426546410

Least common multiple can be found by multiplying the highest exponent prime factors of 144402 and 144410. First we will calculate the prime factors of 144402 and 144410.

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

Prime Factorization of 144410


2 144410
5 72205
7 14441
2063 2063
1

Prime factors of 144410 are 2, 5, 7,2063. Prime factorization of 144410 in exponential form is:

144410 = 21×51×71×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 144402 and 144410.

LCM(144402,144410) = 21×31×51×71×411×5871×20631
LCM(144402,144410) = 10426546410

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

Factors of 144410

List of positive integer factors of 144410 that divides 144410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 2063, 4126, 10315, 14441, 20630, 28882, 72205, 144410

Least Common Multiple of 144402 and 144410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144402 and 144410, than apply into the LCM equation.

GCF(144402,144410) = 2
LCM(144402,144410) = ( 144402 × 144410) / 2
LCM(144402,144410) = 20853092820 / 2
LCM(144402,144410) = 10426546410

Properties of LCM 144402 and 144410

(i) The LCM of 144410 and 144402 is associative

LCM of 144402 and 144410 = LCM of 144410 and 144402

Related Least Common Multiples of 144402

Related Least Common Multiples of 144410

Frequently Asked Questions on LCM of 144402 and 144410

1. What is the LCM of 144402 and 144410?

Answer: LCM of 144402 and 144410 is 10426546410.

2. 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.

3. What are the Factors of 144410?

Answer: Factors of 144410 are 1, 2, 5, 7, 10, 14, 35, 70, 2063, 4126, 10315, 14441, 20630, 28882, 72205, 144410. There are 16 integers that are factors of 144410. The greatest factor of 144410 is 144410.

4. How to Find the LCM of 144402 and 144410?

Answer:

Least Common Multiple of 144402 and 144410 = 10426546410

Step 1: Find the prime factorization of 144402

144402 = 2 x 3 x 41 x 587

Step 2: Find the prime factorization of 144410

144410 = 2 x 5 x 7 x 2063

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

LCM = 10426546410 = 2 x 3 x 5 x 7 x 41 x 587 x 2063

Step 4: Therefore, the least common multiple of 144402 and 144410 is 10426546410.