Least Common Multiple of 7339 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 7339 and 7346 the smallest integer that is 53912294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7339 and 7346 is 53912294.

LCM(7339,7346) = 53912294

LCM of 7339 and 7346

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

LCM of:
and

Least Common Multiple of 7339 and 7346

LCM of 7339 and 7346 is 53912294

Least common multiple can be found by multiplying the highest exponent prime factors of 7339 and 7346. First we will calculate the prime factors of 7339 and 7346.

Prime Factorization of 7339


41 7339
179 179
1

Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:

7339 = 411×1791

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 7339 and 7346.

LCM(7339,7346) = 21×411×1791×36731
LCM(7339,7346) = 53912294

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1, 41, 179, 7339

Factors of 7346

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

1, 2, 3673, 7346

Least Common Multiple of 7339 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 7339 and 7346, than apply into the LCM equation.

GCF(7339,7346) = 1
LCM(7339,7346) = ( 7339 × 7346) / 1
LCM(7339,7346) = 53912294 / 1
LCM(7339,7346) = 53912294

Properties of LCM 7339 and 7346

(i) The LCM of 7346 and 7339 is associative

LCM of 7339 and 7346 = LCM of 7346 and 7339

Related Least Common Multiples of 7339

Related Least Common Multiples of 7346

Frequently Asked Questions on LCM of 7339 and 7346

1. What is the LCM of 7339 and 7346?

Answer: LCM of 7339 and 7346 is 53912294.

2. What are the Factors of 7339?

Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.

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 7339 and 7346?

Answer:

Least Common Multiple of 7339 and 7346 = 53912294

Step 1: Find the prime factorization of 7339

7339 = 41 x 179

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 = 53912294 = 2 x 41 x 179 x 3673

Step 4: Therefore, the least common multiple of 7339 and 7346 is 53912294.