Least Common Multiple of 380 and 388

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 388 the smallest integer that is 36860 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 388 is 36860.

LCM(380,388) = 36860

LCM of 380 and 388

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

LCM of:
and

Least Common Multiple of 380 and 388

LCM of 380 and 388 is 36860

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 388. First we will calculate the prime factors of 380 and 388.

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 388


2 388
2 194
97 97
1

Prime factors of 388 are 2,97. Prime factorization of 388 in exponential form is:

388 = 22×971

Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 388.

LCM(380,388) = 22×51×191×971
LCM(380,388) = 36860

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 388

List of positive integer factors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Least Common Multiple of 380 and 388 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 388, than apply into the LCM equation.

GCF(380,388) = 4
LCM(380,388) = ( 380 × 388) / 4
LCM(380,388) = 147440 / 4
LCM(380,388) = 36860

Properties of LCM 380 and 388

(i) The LCM of 388 and 380 is associative

LCM of 380 and 388 = LCM of 388 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 380 and 388

1. What is the LCM of 380 and 388?

Answer: LCM of 380 and 388 is 36860.

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 388?

Answer: Factors of 388 are 1, 2, 4, 97, 194, 388. There are 6 integers that are factors of 388. The greatest factor of 388 is 388.

4. How to Find the LCM of 380 and 388?

Answer:

Least Common Multiple of 380 and 388 = 36860

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 388

388 = 2 x 2 x 97

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

LCM = 36860 = 2 x 2 x 5 x 19 x 97

Step 4: Therefore, the least common multiple of 380 and 388 is 36860.