Least Common Multiple of 144360 and 144367

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 144367 the smallest integer that is 20840820120 that is divisible by both numbers.

Least Common Multiple (LCM) of 144360 and 144367 is 20840820120.

LCM(144360,144367) = 20840820120

LCM of 144360 and 144367

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

LCM of:
and

Least Common Multiple of 144360 and 144367

LCM of 144360 and 144367 is 20840820120

Least common multiple can be found by multiplying the highest exponent prime factors of 144360 and 144367. First we will calculate the prime factors of 144360 and 144367.

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 144367


31 144367
4657 4657
1

Prime factors of 144367 are 31,4657. Prime factorization of 144367 in exponential form is:

144367 = 311×46571

Now multiplying the highest exponent prime factors to calculate the LCM of 144360 and 144367.

LCM(144360,144367) = 23×32×51×311×4011×46571
LCM(144360,144367) = 20840820120

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 144367

List of positive integer factors of 144367 that divides 144367 without a remainder.

1, 31, 4657, 144367

Least Common Multiple of 144360 and 144367 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 144367, than apply into the LCM equation.

GCF(144360,144367) = 1
LCM(144360,144367) = ( 144360 × 144367) / 1
LCM(144360,144367) = 20840820120 / 1
LCM(144360,144367) = 20840820120

Properties of LCM 144360 and 144367

(i) The LCM of 144367 and 144360 is associative

LCM of 144360 and 144367 = LCM of 144367 and 144360

Related Least Common Multiples of 144360

Related Least Common Multiples of 144367

Frequently Asked Questions on LCM of 144360 and 144367

1. What is the LCM of 144360 and 144367?

Answer: LCM of 144360 and 144367 is 20840820120.

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 144367?

Answer: Factors of 144367 are 1, 31, 4657, 144367. There are 4 integers that are factors of 144367. The greatest factor of 144367 is 144367.

4. How to Find the LCM of 144360 and 144367?

Answer:

Least Common Multiple of 144360 and 144367 = 20840820120

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 144367

144367 = 31 x 4657

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

LCM = 20840820120 = 2 x 2 x 2 x 3 x 3 x 5 x 31 x 401 x 4657

Step 4: Therefore, the least common multiple of 144360 and 144367 is 20840820120.