Least Common Multiple of 7340 and 7346

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 7346 the smallest integer that is 26959820 that is divisible by both numbers.

Least Common Multiple (LCM) of 7340 and 7346 is 26959820.

LCM(7340,7346) = 26959820

LCM of 7340 and 7346

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

LCM of:
and

Least Common Multiple of 7340 and 7346

LCM of 7340 and 7346 is 26959820

Least common multiple can be found by multiplying the highest exponent prime factors of 7340 and 7346. First we will calculate the prime factors of 7340 and 7346.

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 7346


2 7346
3673 3673
1

Prime factors of 7346 are 2,3673. Prime factorization of 7346 in exponential form is:

7346 = 21×36731

Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7346.

LCM(7340,7346) = 22×51×3671×36731
LCM(7340,7346) = 26959820

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 7346

List of positive integer factors of 7346 that divides 7346 without a remainder.

1, 2, 3673, 7346

Least Common Multiple of 7340 and 7346 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 7346, than apply into the LCM equation.

GCF(7340,7346) = 2
LCM(7340,7346) = ( 7340 × 7346) / 2
LCM(7340,7346) = 53919640 / 2
LCM(7340,7346) = 26959820

Properties of LCM 7340 and 7346

(i) The LCM of 7346 and 7340 is associative

LCM of 7340 and 7346 = LCM of 7346 and 7340

Related Least Common Multiples of 7340

Related Least Common Multiples of 7346

Frequently Asked Questions on LCM of 7340 and 7346

1. What is the LCM of 7340 and 7346?

Answer: LCM of 7340 and 7346 is 26959820.

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 7346?

Answer: Factors of 7346 are 1, 2, 3673, 7346. There are 4 integers that are factors of 7346. The greatest factor of 7346 is 7346.

4. How to Find the LCM of 7340 and 7346?

Answer:

Least Common Multiple of 7340 and 7346 = 26959820

Step 1: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

Step 2: Find the prime factorization of 7346

7346 = 2 x 3673

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

LCM = 26959820 = 2 x 2 x 5 x 367 x 3673

Step 4: Therefore, the least common multiple of 7340 and 7346 is 26959820.