Least Common Multiple of 144360 and 144364

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 144364 the smallest integer that is 5210096760 that is divisible by both numbers.

Least Common Multiple (LCM) of 144360 and 144364 is 5210096760.

LCM(144360,144364) = 5210096760

LCM of 144360 and 144364

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

LCM of:
and

Least Common Multiple of 144360 and 144364

LCM of 144360 and 144364 is 5210096760

Least common multiple can be found by multiplying the highest exponent prime factors of 144360 and 144364. First we will calculate the prime factors of 144360 and 144364.

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 144364


2 144364
2 72182
11 36091
17 3281
193 193
1

Prime factors of 144364 are 2, 11, 17,193. Prime factorization of 144364 in exponential form is:

144364 = 22×111×171×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 144360 and 144364.

LCM(144360,144364) = 23×32×51×111×171×1931×4011
LCM(144360,144364) = 5210096760

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 144364

List of positive integer factors of 144364 that divides 144364 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 193, 374, 386, 748, 772, 2123, 3281, 4246, 6562, 8492, 13124, 36091, 72182, 144364

Least Common Multiple of 144360 and 144364 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 144364, than apply into the LCM equation.

GCF(144360,144364) = 4
LCM(144360,144364) = ( 144360 × 144364) / 4
LCM(144360,144364) = 20840387040 / 4
LCM(144360,144364) = 5210096760

Properties of LCM 144360 and 144364

(i) The LCM of 144364 and 144360 is associative

LCM of 144360 and 144364 = LCM of 144364 and 144360

Related Least Common Multiples of 144360

Related Least Common Multiples of 144364

Frequently Asked Questions on LCM of 144360 and 144364

1. What is the LCM of 144360 and 144364?

Answer: LCM of 144360 and 144364 is 5210096760.

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 144364?

Answer: Factors of 144364 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 193, 374, 386, 748, 772, 2123, 3281, 4246, 6562, 8492, 13124, 36091, 72182, 144364. There are 24 integers that are factors of 144364. The greatest factor of 144364 is 144364.

4. How to Find the LCM of 144360 and 144364?

Answer:

Least Common Multiple of 144360 and 144364 = 5210096760

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 144364

144364 = 2 x 2 x 11 x 17 x 193

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

LCM = 5210096760 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 193 x 401

Step 4: Therefore, the least common multiple of 144360 and 144364 is 5210096760.