Least Common Multiple of 7380 and 7388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7380 and 7388 the smallest integer that is 13630860 that is divisible by both numbers.

Least Common Multiple (LCM) of 7380 and 7388 is 13630860.

LCM(7380,7388) = 13630860

LCM of 7380 and 7388

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

LCM of:
and

Least Common Multiple of 7380 and 7388

LCM of 7380 and 7388 is 13630860

Least common multiple can be found by multiplying the highest exponent prime factors of 7380 and 7388. First we will calculate the prime factors of 7380 and 7388.

Prime Factorization of 7380


2 7380
2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 7380 are 2, 3, 5,41. Prime factorization of 7380 in exponential form is:

7380 = 22×32×51×411

Prime Factorization of 7388


2 7388
2 3694
1847 1847
1

Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:

7388 = 22×18471

Now multiplying the highest exponent prime factors to calculate the LCM of 7380 and 7388.

LCM(7380,7388) = 22×32×51×411×18471
LCM(7380,7388) = 13630860

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1, 2, 4, 1847, 3694, 7388

Least Common Multiple of 7380 and 7388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7380 and 7388, than apply into the LCM equation.

GCF(7380,7388) = 4
LCM(7380,7388) = ( 7380 × 7388) / 4
LCM(7380,7388) = 54523440 / 4
LCM(7380,7388) = 13630860

Properties of LCM 7380 and 7388

(i) The LCM of 7388 and 7380 is associative

LCM of 7380 and 7388 = LCM of 7388 and 7380

Related Least Common Multiples of 7380

Related Least Common Multiples of 7388

Frequently Asked Questions on LCM of 7380 and 7388

1. What is the LCM of 7380 and 7388?

Answer: LCM of 7380 and 7388 is 13630860.

2. What are the Factors of 7380?

Answer: Factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380. There are 36 integers that are factors of 7380. The greatest factor of 7380 is 7380.

3. What are the Factors of 7388?

Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.

4. How to Find the LCM of 7380 and 7388?

Answer:

Least Common Multiple of 7380 and 7388 = 13630860

Step 1: Find the prime factorization of 7380

7380 = 2 x 2 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 7388

7388 = 2 x 2 x 1847

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

LCM = 13630860 = 2 x 2 x 3 x 3 x 5 x 41 x 1847

Step 4: Therefore, the least common multiple of 7380 and 7388 is 13630860.