Least Common Multiple of 377 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 377 and 380 the smallest integer that is 143260 that is divisible by both numbers.

Least Common Multiple (LCM) of 377 and 380 is 143260.

LCM(377,380) = 143260

LCM of 377 and 380

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

LCM of:
and

Least Common Multiple of 377 and 380

LCM of 377 and 380 is 143260

Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 380. First we will calculate the prime factors of 377 and 380.

Prime Factorization of 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

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 377 and 380.

LCM(377,380) = 22×51×131×191×291
LCM(377,380) = 143260

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1, 13, 29, 377

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 377 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 377 and 380, than apply into the LCM equation.

GCF(377,380) = 1
LCM(377,380) = ( 377 × 380) / 1
LCM(377,380) = 143260 / 1
LCM(377,380) = 143260

Properties of LCM 377 and 380

(i) The LCM of 380 and 377 is associative

LCM of 377 and 380 = LCM of 380 and 377

Related Least Common Multiples of 377

Related Least Common Multiples of 380

Frequently Asked Questions on LCM of 377 and 380

1. What is the LCM of 377 and 380?

Answer: LCM of 377 and 380 is 143260.

2. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

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 377 and 380?

Answer:

Least Common Multiple of 377 and 380 = 143260

Step 1: Find the prime factorization of 377

377 = 13 x 29

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 = 143260 = 2 x 2 x 5 x 13 x 19 x 29

Step 4: Therefore, the least common multiple of 377 and 380 is 143260.