Least Common Multiple of 144372 and 144380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144372 and 144380 the smallest integer that is 5211107340 that is divisible by both numbers.

Least Common Multiple (LCM) of 144372 and 144380 is 5211107340.

LCM(144372,144380) = 5211107340

LCM of 144372 and 144380

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

LCM of:
and

Least Common Multiple of 144372 and 144380

LCM of 144372 and 144380 is 5211107340

Least common multiple can be found by multiplying the highest exponent prime factors of 144372 and 144380. First we will calculate the prime factors of 144372 and 144380.

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

Prime Factorization of 144380


2 144380
2 72190
5 36095
7219 7219
1

Prime factors of 144380 are 2, 5,7219. Prime factorization of 144380 in exponential form is:

144380 = 22×51×72191

Now multiplying the highest exponent prime factors to calculate the LCM of 144372 and 144380.

LCM(144372,144380) = 22×31×51×531×2271×72191
LCM(144372,144380) = 5211107340

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

Factors of 144380

List of positive integer factors of 144380 that divides 144380 without a remainder.

1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380

Least Common Multiple of 144372 and 144380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144372 and 144380, than apply into the LCM equation.

GCF(144372,144380) = 4
LCM(144372,144380) = ( 144372 × 144380) / 4
LCM(144372,144380) = 20844429360 / 4
LCM(144372,144380) = 5211107340

Properties of LCM 144372 and 144380

(i) The LCM of 144380 and 144372 is associative

LCM of 144372 and 144380 = LCM of 144380 and 144372

Related Least Common Multiples of 144372

Related Least Common Multiples of 144380

Frequently Asked Questions on LCM of 144372 and 144380

1. What is the LCM of 144372 and 144380?

Answer: LCM of 144372 and 144380 is 5211107340.

2. 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.

3. What are the Factors of 144380?

Answer: Factors of 144380 are 1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380. There are 12 integers that are factors of 144380. The greatest factor of 144380 is 144380.

4. How to Find the LCM of 144372 and 144380?

Answer:

Least Common Multiple of 144372 and 144380 = 5211107340

Step 1: Find the prime factorization of 144372

144372 = 2 x 2 x 3 x 53 x 227

Step 2: Find the prime factorization of 144380

144380 = 2 x 2 x 5 x 7219

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

LCM = 5211107340 = 2 x 2 x 3 x 5 x 53 x 227 x 7219

Step 4: Therefore, the least common multiple of 144372 and 144380 is 5211107340.