Least Common Multiple of 7385 and 7392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7385 and 7392 the smallest integer that is 7798560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7385 and 7392 is 7798560.

LCM(7385,7392) = 7798560

LCM of 7385 and 7392

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

LCM of:
and

Least Common Multiple of 7385 and 7392

LCM of 7385 and 7392 is 7798560

Least common multiple can be found by multiplying the highest exponent prime factors of 7385 and 7392. First we will calculate the prime factors of 7385 and 7392.

Prime Factorization of 7385


5 7385
7 1477
211 211
1

Prime factors of 7385 are 5, 7,211. Prime factorization of 7385 in exponential form is:

7385 = 51×71×2111

Prime Factorization of 7392


2 7392
2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 7392 are 2, 3, 7,11. Prime factorization of 7392 in exponential form is:

7392 = 25×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7385 and 7392.

LCM(7385,7392) = 25×31×51×71×111×2111
LCM(7385,7392) = 7798560

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1, 5, 7, 35, 211, 1055, 1477, 7385

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392

Least Common Multiple of 7385 and 7392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7385 and 7392, than apply into the LCM equation.

GCF(7385,7392) = 7
LCM(7385,7392) = ( 7385 × 7392) / 7
LCM(7385,7392) = 54589920 / 7
LCM(7385,7392) = 7798560

Properties of LCM 7385 and 7392

(i) The LCM of 7392 and 7385 is associative

LCM of 7385 and 7392 = LCM of 7392 and 7385

Related Least Common Multiples of 7385

Related Least Common Multiples of 7392

Frequently Asked Questions on LCM of 7385 and 7392

1. What is the LCM of 7385 and 7392?

Answer: LCM of 7385 and 7392 is 7798560.

2. What are the Factors of 7385?

Answer: Factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385. There are 8 integers that are factors of 7385. The greatest factor of 7385 is 7385.

3. What are the Factors of 7392?

Answer: Factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392. There are 48 integers that are factors of 7392. The greatest factor of 7392 is 7392.

4. How to Find the LCM of 7385 and 7392?

Answer:

Least Common Multiple of 7385 and 7392 = 7798560

Step 1: Find the prime factorization of 7385

7385 = 5 x 7 x 211

Step 2: Find the prime factorization of 7392

7392 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11

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

LCM = 7798560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 211

Step 4: Therefore, the least common multiple of 7385 and 7392 is 7798560.