Least Common Multiple of 144360 and 144368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144360 and 144368 the smallest integer that is 2605120560 that is divisible by both numbers.

Least Common Multiple (LCM) of 144360 and 144368 is 2605120560.

LCM(144360,144368) = 2605120560

LCM of 144360 and 144368

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

LCM of:
and

Least Common Multiple of 144360 and 144368

LCM of 144360 and 144368 is 2605120560

Least common multiple can be found by multiplying the highest exponent prime factors of 144360 and 144368. First we will calculate the prime factors of 144360 and 144368.

Prime Factorization of 144360


2 144360
2 72180
2 36090
3 18045
3 6015
5 2005
401 401
1

Prime factors of 144360 are 2, 3, 5,401. Prime factorization of 144360 in exponential form is:

144360 = 23×32×51×4011

Prime Factorization of 144368


2 144368
2 72184
2 36092
2 18046
7 9023
1289 1289
1

Prime factors of 144368 are 2, 7,1289. Prime factorization of 144368 in exponential form is:

144368 = 24×71×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 144360 and 144368.

LCM(144360,144368) = 24×32×51×71×4011×12891
LCM(144360,144368) = 2605120560

Factors of 144360

List of positive integer factors of 144360 that divides 144360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360, 401, 802, 1203, 1604, 2005, 2406, 3208, 3609, 4010, 4812, 6015, 7218, 8020, 9624, 12030, 14436, 16040, 18045, 24060, 28872, 36090, 48120, 72180, 144360

Factors of 144368

List of positive integer factors of 144368 that divides 144368 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 1289, 2578, 5156, 9023, 10312, 18046, 20624, 36092, 72184, 144368

Least Common Multiple of 144360 and 144368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144360 and 144368, than apply into the LCM equation.

GCF(144360,144368) = 8
LCM(144360,144368) = ( 144360 × 144368) / 8
LCM(144360,144368) = 20840964480 / 8
LCM(144360,144368) = 2605120560

Properties of LCM 144360 and 144368

(i) The LCM of 144368 and 144360 is associative

LCM of 144360 and 144368 = LCM of 144368 and 144360

Related Least Common Multiples of 144360

Related Least Common Multiples of 144368

Frequently Asked Questions on LCM of 144360 and 144368

1. What is the LCM of 144360 and 144368?

Answer: LCM of 144360 and 144368 is 2605120560.

2. What are the Factors of 144360?

Answer: Factors of 144360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360, 401, 802, 1203, 1604, 2005, 2406, 3208, 3609, 4010, 4812, 6015, 7218, 8020, 9624, 12030, 14436, 16040, 18045, 24060, 28872, 36090, 48120, 72180, 144360. There are 48 integers that are factors of 144360. The greatest factor of 144360 is 144360.

3. What are the Factors of 144368?

Answer: Factors of 144368 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 1289, 2578, 5156, 9023, 10312, 18046, 20624, 36092, 72184, 144368. There are 20 integers that are factors of 144368. The greatest factor of 144368 is 144368.

4. How to Find the LCM of 144360 and 144368?

Answer:

Least Common Multiple of 144360 and 144368 = 2605120560

Step 1: Find the prime factorization of 144360

144360 = 2 x 2 x 2 x 3 x 3 x 5 x 401

Step 2: Find the prime factorization of 144368

144368 = 2 x 2 x 2 x 2 x 7 x 1289

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

LCM = 2605120560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 401 x 1289

Step 4: Therefore, the least common multiple of 144360 and 144368 is 2605120560.