Least Common Multiple of 1380 and 1385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1380 and 1385 the smallest integer that is 382260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1380 and 1385 is 382260.

LCM(1380,1385) = 382260

LCM of 1380 and 1385

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

LCM of:
and

Least Common Multiple of 1380 and 1385

LCM of 1380 and 1385 is 382260

Least common multiple can be found by multiplying the highest exponent prime factors of 1380 and 1385. First we will calculate the prime factors of 1380 and 1385.

Prime Factorization of 1380


2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 1380 are 2, 3, 5,23. Prime factorization of 1380 in exponential form is:

1380 = 22×31×51×231

Prime Factorization of 1385


5 1385
277 277
1

Prime factors of 1385 are 5,277. Prime factorization of 1385 in exponential form is:

1385 = 51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1380 and 1385.

LCM(1380,1385) = 22×31×51×231×2771
LCM(1380,1385) = 382260

Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380

Factors of 1385

List of positive integer factors of 1385 that divides 1385 without a remainder.

1, 5, 277, 1385

Least Common Multiple of 1380 and 1385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1380 and 1385, than apply into the LCM equation.

GCF(1380,1385) = 5
LCM(1380,1385) = ( 1380 × 1385) / 5
LCM(1380,1385) = 1911300 / 5
LCM(1380,1385) = 382260

Properties of LCM 1380 and 1385

(i) The LCM of 1385 and 1380 is associative

LCM of 1380 and 1385 = LCM of 1385 and 1380

Related Least Common Multiples of 1380

Related Least Common Multiples of 1385

Frequently Asked Questions on LCM of 1380 and 1385

1. What is the LCM of 1380 and 1385?

Answer: LCM of 1380 and 1385 is 382260.

2. What are the Factors of 1380?

Answer: Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380. There are 24 integers that are factors of 1380. The greatest factor of 1380 is 1380.

3. What are the Factors of 1385?

Answer: Factors of 1385 are 1, 5, 277, 1385. There are 4 integers that are factors of 1385. The greatest factor of 1385 is 1385.

4. How to Find the LCM of 1380 and 1385?

Answer:

Least Common Multiple of 1380 and 1385 = 382260

Step 1: Find the prime factorization of 1380

1380 = 2 x 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 1385

1385 = 5 x 277

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

LCM = 382260 = 2 x 2 x 3 x 5 x 23 x 277

Step 4: Therefore, the least common multiple of 1380 and 1385 is 382260.