Least Common Multiple of 144372 and 144377

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 144377 the smallest integer that is 20843996244 that is divisible by both numbers.

Least Common Multiple (LCM) of 144372 and 144377 is 20843996244.

LCM(144372,144377) = 20843996244

LCM of 144372 and 144377

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

LCM of:
and

Least Common Multiple of 144372 and 144377

LCM of 144372 and 144377 is 20843996244

Least common multiple can be found by multiplying the highest exponent prime factors of 144372 and 144377. First we will calculate the prime factors of 144372 and 144377.

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 144377


353 144377
409 409
1

Prime factors of 144377 are 353,409. Prime factorization of 144377 in exponential form is:

144377 = 3531×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 144372 and 144377.

LCM(144372,144377) = 22×31×531×2271×3531×4091
LCM(144372,144377) = 20843996244

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 144377

List of positive integer factors of 144377 that divides 144377 without a remainder.

1, 353, 409, 144377

Least Common Multiple of 144372 and 144377 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 144377, than apply into the LCM equation.

GCF(144372,144377) = 1
LCM(144372,144377) = ( 144372 × 144377) / 1
LCM(144372,144377) = 20843996244 / 1
LCM(144372,144377) = 20843996244

Properties of LCM 144372 and 144377

(i) The LCM of 144377 and 144372 is associative

LCM of 144372 and 144377 = LCM of 144377 and 144372

Related Least Common Multiples of 144372

Related Least Common Multiples of 144377

Frequently Asked Questions on LCM of 144372 and 144377

1. What is the LCM of 144372 and 144377?

Answer: LCM of 144372 and 144377 is 20843996244.

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 144377?

Answer: Factors of 144377 are 1, 353, 409, 144377. There are 4 integers that are factors of 144377. The greatest factor of 144377 is 144377.

4. How to Find the LCM of 144372 and 144377?

Answer:

Least Common Multiple of 144372 and 144377 = 20843996244

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 144377

144377 = 353 x 409

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

LCM = 20843996244 = 2 x 2 x 3 x 53 x 227 x 353 x 409

Step 4: Therefore, the least common multiple of 144372 and 144377 is 20843996244.