Least Common Multiple of 2380 and 2388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2380 and 2388 the smallest integer that is 1420860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2380 and 2388 is 1420860.

LCM(2380,2388) = 1420860

LCM of 2380 and 2388

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

LCM of:
and

Least Common Multiple of 2380 and 2388

LCM of 2380 and 2388 is 1420860

Least common multiple can be found by multiplying the highest exponent prime factors of 2380 and 2388. First we will calculate the prime factors of 2380 and 2388.

Prime Factorization of 2380


2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 2380 are 2, 5, 7,17. Prime factorization of 2380 in exponential form is:

2380 = 22×51×71×171

Prime Factorization of 2388


2 2388
2 1194
3 597
199 199
1

Prime factors of 2388 are 2, 3,199. Prime factorization of 2388 in exponential form is:

2388 = 22×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 2380 and 2388.

LCM(2380,2388) = 22×31×51×71×171×1991
LCM(2380,2388) = 1420860

Factors of 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

Factors of 2388

List of positive integer factors of 2388 that divides 2388 without a remainder.

1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388

Least Common Multiple of 2380 and 2388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2380 and 2388, than apply into the LCM equation.

GCF(2380,2388) = 4
LCM(2380,2388) = ( 2380 × 2388) / 4
LCM(2380,2388) = 5683440 / 4
LCM(2380,2388) = 1420860

Properties of LCM 2380 and 2388

(i) The LCM of 2388 and 2380 is associative

LCM of 2380 and 2388 = LCM of 2388 and 2380

Related Least Common Multiples of 2380

Related Least Common Multiples of 2388

Frequently Asked Questions on LCM of 2380 and 2388

1. What is the LCM of 2380 and 2388?

Answer: LCM of 2380 and 2388 is 1420860.

2. What are the Factors of 2380?

Answer: Factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. There are 24 integers that are factors of 2380. The greatest factor of 2380 is 2380.

3. What are the Factors of 2388?

Answer: Factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. There are 12 integers that are factors of 2388. The greatest factor of 2388 is 2388.

4. How to Find the LCM of 2380 and 2388?

Answer:

Least Common Multiple of 2380 and 2388 = 1420860

Step 1: Find the prime factorization of 2380

2380 = 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

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

LCM = 1420860 = 2 x 2 x 3 x 5 x 7 x 17 x 199

Step 4: Therefore, the least common multiple of 2380 and 2388 is 1420860.