Least Common Multiple of 380 and 383

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 383 the smallest integer that is 145540 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 383 is 145540.

LCM(380,383) = 145540

LCM of 380 and 383

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

LCM of:
and

Least Common Multiple of 380 and 383

LCM of 380 and 383 is 145540

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 383. First we will calculate the prime factors of 380 and 383.

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 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 383.

LCM(380,383) = 22×51×191×3831
LCM(380,383) = 145540

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 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Least Common Multiple of 380 and 383 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 383, than apply into the LCM equation.

GCF(380,383) = 1
LCM(380,383) = ( 380 × 383) / 1
LCM(380,383) = 145540 / 1
LCM(380,383) = 145540

Properties of LCM 380 and 383

(i) The LCM of 383 and 380 is associative

LCM of 380 and 383 = LCM of 383 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 383

Frequently Asked Questions on LCM of 380 and 383

1. What is the LCM of 380 and 383?

Answer: LCM of 380 and 383 is 145540.

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 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

4. How to Find the LCM of 380 and 383?

Answer:

Least Common Multiple of 380 and 383 = 145540

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 383

383 = 383

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

LCM = 145540 = 2 x 2 x 5 x 19 x 383

Step 4: Therefore, the least common multiple of 380 and 383 is 145540.