Least Common Multiple of 144372 and 144378

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 144378 the smallest integer that is 3474023436 that is divisible by both numbers.

Least Common Multiple (LCM) of 144372 and 144378 is 3474023436.

LCM(144372,144378) = 3474023436

LCM of 144372 and 144378

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

LCM of:
and

Least Common Multiple of 144372 and 144378

LCM of 144372 and 144378 is 3474023436

Least common multiple can be found by multiplying the highest exponent prime factors of 144372 and 144378. First we will calculate the prime factors of 144372 and 144378.

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 144378


2 144378
3 72189
3 24063
13 8021
617 617
1

Prime factors of 144378 are 2, 3, 13,617. Prime factorization of 144378 in exponential form is:

144378 = 21×32×131×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 144372 and 144378.

LCM(144372,144378) = 22×32×131×531×2271×6171
LCM(144372,144378) = 3474023436

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 144378

List of positive integer factors of 144378 that divides 144378 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 617, 1234, 1851, 3702, 5553, 8021, 11106, 16042, 24063, 48126, 72189, 144378

Least Common Multiple of 144372 and 144378 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 144378, than apply into the LCM equation.

GCF(144372,144378) = 6
LCM(144372,144378) = ( 144372 × 144378) / 6
LCM(144372,144378) = 20844140616 / 6
LCM(144372,144378) = 3474023436

Properties of LCM 144372 and 144378

(i) The LCM of 144378 and 144372 is associative

LCM of 144372 and 144378 = LCM of 144378 and 144372

Related Least Common Multiples of 144372

Related Least Common Multiples of 144378

Frequently Asked Questions on LCM of 144372 and 144378

1. What is the LCM of 144372 and 144378?

Answer: LCM of 144372 and 144378 is 3474023436.

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 144378?

Answer: Factors of 144378 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 617, 1234, 1851, 3702, 5553, 8021, 11106, 16042, 24063, 48126, 72189, 144378. There are 24 integers that are factors of 144378. The greatest factor of 144378 is 144378.

4. How to Find the LCM of 144372 and 144378?

Answer:

Least Common Multiple of 144372 and 144378 = 3474023436

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 144378

144378 = 2 x 3 x 3 x 13 x 617

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

LCM = 3474023436 = 2 x 2 x 3 x 3 x 13 x 53 x 227 x 617

Step 4: Therefore, the least common multiple of 144372 and 144378 is 3474023436.