Least Common Multiple of 7340 and 7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7340 and 7345 the smallest integer that is 10782460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7340 and 7345 is 10782460.

LCM(7340,7345) = 10782460

LCM of 7340 and 7345

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

LCM of:
and

Least Common Multiple of 7340 and 7345

LCM of 7340 and 7345 is 10782460

Least common multiple can be found by multiplying the highest exponent prime factors of 7340 and 7345. First we will calculate the prime factors of 7340 and 7345.

Prime Factorization of 7340


2 7340
2 3670
5 1835
367 367
1

Prime factors of 7340 are 2, 5,367. Prime factorization of 7340 in exponential form is:

7340 = 22×51×3671

Prime Factorization of 7345


5 7345
13 1469
113 113
1

Prime factors of 7345 are 5, 13,113. Prime factorization of 7345 in exponential form is:

7345 = 51×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7345.

LCM(7340,7345) = 22×51×131×1131×3671
LCM(7340,7345) = 10782460

Factors of 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1, 5, 13, 65, 113, 565, 1469, 7345

Least Common Multiple of 7340 and 7345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7345, than apply into the LCM equation.

GCF(7340,7345) = 5
LCM(7340,7345) = ( 7340 × 7345) / 5
LCM(7340,7345) = 53912300 / 5
LCM(7340,7345) = 10782460

Properties of LCM 7340 and 7345

(i) The LCM of 7345 and 7340 is associative

LCM of 7340 and 7345 = LCM of 7345 and 7340

Related Least Common Multiples of 7340

Related Least Common Multiples of 7345

Frequently Asked Questions on LCM of 7340 and 7345

1. What is the LCM of 7340 and 7345?

Answer: LCM of 7340 and 7345 is 10782460.

2. What are the Factors of 7340?

Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.

3. What are the Factors of 7345?

Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.

4. How to Find the LCM of 7340 and 7345?

Answer:

Least Common Multiple of 7340 and 7345 = 10782460

Step 1: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

Step 2: Find the prime factorization of 7345

7345 = 5 x 13 x 113

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

LCM = 10782460 = 2 x 2 x 5 x 13 x 113 x 367

Step 4: Therefore, the least common multiple of 7340 and 7345 is 10782460.