Least Common Multiple of 379 and 380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 379 and 380 the smallest integer that is 144020 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 380 is 144020.

LCM(379,380) = 144020

LCM of 379 and 380

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

LCM of:
and

Least Common Multiple of 379 and 380

LCM of 379 and 380 is 144020

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 380. First we will calculate the prime factors of 379 and 380.

Prime Factorization of 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 379 and 380.

LCM(379,380) = 22×51×191×3791
LCM(379,380) = 144020

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

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

Least Common Multiple of 379 and 380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 379 and 380, than apply into the LCM equation.

GCF(379,380) = 1
LCM(379,380) = ( 379 × 380) / 1
LCM(379,380) = 144020 / 1
LCM(379,380) = 144020

Properties of LCM 379 and 380

(i) The LCM of 380 and 379 is associative

LCM of 379 and 380 = LCM of 380 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 380

Frequently Asked Questions on LCM of 379 and 380

1. What is the LCM of 379 and 380?

Answer: LCM of 379 and 380 is 144020.

2. What are the Factors of 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

3. 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.

4. How to Find the LCM of 379 and 380?

Answer:

Least Common Multiple of 379 and 380 = 144020

Step 1: Find the prime factorization of 379

379 = 379

Step 2: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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

LCM = 144020 = 2 x 2 x 5 x 19 x 379

Step 4: Therefore, the least common multiple of 379 and 380 is 144020.