Least Common Multiple of 144372 and 144376

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 144376 the smallest integer that is 5210962968 that is divisible by both numbers.

Least Common Multiple (LCM) of 144372 and 144376 is 5210962968.

LCM(144372,144376) = 5210962968

LCM of 144372 and 144376

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

LCM of:
and

Least Common Multiple of 144372 and 144376

LCM of 144372 and 144376 is 5210962968

Least common multiple can be found by multiplying the highest exponent prime factors of 144372 and 144376. First we will calculate the prime factors of 144372 and 144376.

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 144376


2 144376
2 72188
2 36094
18047 18047
1

Prime factors of 144376 are 2,18047. Prime factorization of 144376 in exponential form is:

144376 = 23×180471

Now multiplying the highest exponent prime factors to calculate the LCM of 144372 and 144376.

LCM(144372,144376) = 23×31×531×2271×180471
LCM(144372,144376) = 5210962968

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 144376

List of positive integer factors of 144376 that divides 144376 without a remainder.

1, 2, 4, 8, 18047, 36094, 72188, 144376

Least Common Multiple of 144372 and 144376 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 144376, than apply into the LCM equation.

GCF(144372,144376) = 4
LCM(144372,144376) = ( 144372 × 144376) / 4
LCM(144372,144376) = 20843851872 / 4
LCM(144372,144376) = 5210962968

Properties of LCM 144372 and 144376

(i) The LCM of 144376 and 144372 is associative

LCM of 144372 and 144376 = LCM of 144376 and 144372

Related Least Common Multiples of 144372

Related Least Common Multiples of 144376

Frequently Asked Questions on LCM of 144372 and 144376

1. What is the LCM of 144372 and 144376?

Answer: LCM of 144372 and 144376 is 5210962968.

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 144376?

Answer: Factors of 144376 are 1, 2, 4, 8, 18047, 36094, 72188, 144376. There are 8 integers that are factors of 144376. The greatest factor of 144376 is 144376.

4. How to Find the LCM of 144372 and 144376?

Answer:

Least Common Multiple of 144372 and 144376 = 5210962968

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 144376

144376 = 2 x 2 x 2 x 18047

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

LCM = 5210962968 = 2 x 2 x 2 x 3 x 53 x 227 x 18047

Step 4: Therefore, the least common multiple of 144372 and 144376 is 5210962968.