Least Common Multiple of 380 and 381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 380 and 381 the smallest integer that is 144780 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 381 is 144780.

LCM(380,381) = 144780

LCM of 380 and 381

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

LCM of:
and

Least Common Multiple of 380 and 381

LCM of 380 and 381 is 144780

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 381. First we will calculate the prime factors of 380 and 381.

Prime Factorization of 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 381.

LCM(380,381) = 22×31×51×191×1271
LCM(380,381) = 144780

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Least Common Multiple of 380 and 381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 381, than apply into the LCM equation.

GCF(380,381) = 1
LCM(380,381) = ( 380 × 381) / 1
LCM(380,381) = 144780 / 1
LCM(380,381) = 144780

Properties of LCM 380 and 381

(i) The LCM of 381 and 380 is associative

LCM of 380 and 381 = LCM of 381 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 381

Frequently Asked Questions on LCM of 380 and 381

1. What is the LCM of 380 and 381?

Answer: LCM of 380 and 381 is 144780.

2. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

3. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

4. How to Find the LCM of 380 and 381?

Answer:

Least Common Multiple of 380 and 381 = 144780

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 381

381 = 3 x 127

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

LCM = 144780 = 2 x 2 x 3 x 5 x 19 x 127

Step 4: Therefore, the least common multiple of 380 and 381 is 144780.