Least Common Multiple of 144380 and 144387

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 144387 the smallest integer that is 20846595060 that is divisible by both numbers.

Least Common Multiple (LCM) of 144380 and 144387 is 20846595060.

LCM(144380,144387) = 20846595060

LCM of 144380 and 144387

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

LCM of:
and

Least Common Multiple of 144380 and 144387

LCM of 144380 and 144387 is 20846595060

Least common multiple can be found by multiplying the highest exponent prime factors of 144380 and 144387. First we will calculate the prime factors of 144380 and 144387.

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 144387


3 144387
3 48129
61 16043
263 263
1

Prime factors of 144387 are 3, 61,263. Prime factorization of 144387 in exponential form is:

144387 = 32×611×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 144380 and 144387.

LCM(144380,144387) = 22×32×51×611×2631×72191
LCM(144380,144387) = 20846595060

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 144387

List of positive integer factors of 144387 that divides 144387 without a remainder.

1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387

Least Common Multiple of 144380 and 144387 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 144387, than apply into the LCM equation.

GCF(144380,144387) = 1
LCM(144380,144387) = ( 144380 × 144387) / 1
LCM(144380,144387) = 20846595060 / 1
LCM(144380,144387) = 20846595060

Properties of LCM 144380 and 144387

(i) The LCM of 144387 and 144380 is associative

LCM of 144380 and 144387 = LCM of 144387 and 144380

Related Least Common Multiples of 144380

Related Least Common Multiples of 144387

Frequently Asked Questions on LCM of 144380 and 144387

1. What is the LCM of 144380 and 144387?

Answer: LCM of 144380 and 144387 is 20846595060.

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 144387?

Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.

4. How to Find the LCM of 144380 and 144387?

Answer:

Least Common Multiple of 144380 and 144387 = 20846595060

Step 1: Find the prime factorization of 144380

144380 = 2 x 2 x 5 x 7219

Step 2: Find the prime factorization of 144387

144387 = 3 x 3 x 61 x 263

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

LCM = 20846595060 = 2 x 2 x 3 x 3 x 5 x 61 x 263 x 7219

Step 4: Therefore, the least common multiple of 144380 and 144387 is 20846595060.