Least Common Multiple of 144364 and 144372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144364 and 144372 the smallest integer that is 5210529852 that is divisible by both numbers.

Least Common Multiple (LCM) of 144364 and 144372 is 5210529852.

LCM(144364,144372) = 5210529852

LCM of 144364 and 144372

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

LCM of:
and

Least Common Multiple of 144364 and 144372

LCM of 144364 and 144372 is 5210529852

Least common multiple can be found by multiplying the highest exponent prime factors of 144364 and 144372. First we will calculate the prime factors of 144364 and 144372.

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

Prime Factorization of 144372


2 144372
2 72186
3 36093
53 12031
227 227
1

Prime factors of 144372 are 2, 3, 53,227. Prime factorization of 144372 in exponential form is:

144372 = 22×31×531×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 144364 and 144372.

LCM(144364,144372) = 22×31×111×171×531×1931×2271
LCM(144364,144372) = 5210529852

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

Factors of 144372

List of positive integer factors of 144372 that divides 144372 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 227, 318, 454, 636, 681, 908, 1362, 2724, 12031, 24062, 36093, 48124, 72186, 144372

Least Common Multiple of 144364 and 144372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144364 and 144372, than apply into the LCM equation.

GCF(144364,144372) = 4
LCM(144364,144372) = ( 144364 × 144372) / 4
LCM(144364,144372) = 20842119408 / 4
LCM(144364,144372) = 5210529852

Properties of LCM 144364 and 144372

(i) The LCM of 144372 and 144364 is associative

LCM of 144364 and 144372 = LCM of 144372 and 144364

Related Least Common Multiples of 144364

Related Least Common Multiples of 144372

Frequently Asked Questions on LCM of 144364 and 144372

1. What is the LCM of 144364 and 144372?

Answer: LCM of 144364 and 144372 is 5210529852.

2. 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.

3. What are the Factors of 144372?

Answer: Factors of 144372 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 227, 318, 454, 636, 681, 908, 1362, 2724, 12031, 24062, 36093, 48124, 72186, 144372. There are 24 integers that are factors of 144372. The greatest factor of 144372 is 144372.

4. How to Find the LCM of 144364 and 144372?

Answer:

Least Common Multiple of 144364 and 144372 = 5210529852

Step 1: Find the prime factorization of 144364

144364 = 2 x 2 x 11 x 17 x 193

Step 2: Find the prime factorization of 144372

144372 = 2 x 2 x 3 x 53 x 227

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

LCM = 5210529852 = 2 x 2 x 3 x 11 x 17 x 53 x 193 x 227

Step 4: Therefore, the least common multiple of 144364 and 144372 is 5210529852.