Least Common Multiple of 144380 and 144388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144380 and 144388 the smallest integer that is 5211684860 that is divisible by both numbers.

Least Common Multiple (LCM) of 144380 and 144388 is 5211684860.

LCM(144380,144388) = 5211684860

LCM of 144380 and 144388

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

LCM of:
and

Least Common Multiple of 144380 and 144388

LCM of 144380 and 144388 is 5211684860

Least common multiple can be found by multiplying the highest exponent prime factors of 144380 and 144388. First we will calculate the prime factors of 144380 and 144388.

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

Prime Factorization of 144388


2 144388
2 72194
36097 36097
1

Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:

144388 = 22×360971

Now multiplying the highest exponent prime factors to calculate the LCM of 144380 and 144388.

LCM(144380,144388) = 22×51×72191×360971
LCM(144380,144388) = 5211684860

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

Factors of 144388

List of positive integer factors of 144388 that divides 144388 without a remainder.

1, 2, 4, 36097, 72194, 144388

Least Common Multiple of 144380 and 144388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144380 and 144388, than apply into the LCM equation.

GCF(144380,144388) = 4
LCM(144380,144388) = ( 144380 × 144388) / 4
LCM(144380,144388) = 20846739440 / 4
LCM(144380,144388) = 5211684860

Properties of LCM 144380 and 144388

(i) The LCM of 144388 and 144380 is associative

LCM of 144380 and 144388 = LCM of 144388 and 144380

Related Least Common Multiples of 144380

Related Least Common Multiples of 144388

Frequently Asked Questions on LCM of 144380 and 144388

1. What is the LCM of 144380 and 144388?

Answer: LCM of 144380 and 144388 is 5211684860.

2. 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.

3. What are the Factors of 144388?

Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.

4. How to Find the LCM of 144380 and 144388?

Answer:

Least Common Multiple of 144380 and 144388 = 5211684860

Step 1: Find the prime factorization of 144380

144380 = 2 x 2 x 5 x 7219

Step 2: Find the prime factorization of 144388

144388 = 2 x 2 x 36097

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

LCM = 5211684860 = 2 x 2 x 5 x 7219 x 36097

Step 4: Therefore, the least common multiple of 144380 and 144388 is 5211684860.