Least Common Multiple of 7338 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 7338 and 7346 the smallest integer that is 26952474 that is divisible by both numbers.

Least Common Multiple (LCM) of 7338 and 7346 is 26952474.

LCM(7338,7346) = 26952474

LCM of 7338 and 7346

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

LCM of:
and

Least Common Multiple of 7338 and 7346

LCM of 7338 and 7346 is 26952474

Least common multiple can be found by multiplying the highest exponent prime factors of 7338 and 7346. First we will calculate the prime factors of 7338 and 7346.

Prime Factorization of 7338


2 7338
3 3669
1223 1223
1

Prime factors of 7338 are 2, 3,1223. Prime factorization of 7338 in exponential form is:

7338 = 21×31×12231

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 7338 and 7346.

LCM(7338,7346) = 21×31×12231×36731
LCM(7338,7346) = 26952474

Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1, 2, 3, 6, 1223, 2446, 3669, 7338

Factors of 7346

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

1, 2, 3673, 7346

Least Common Multiple of 7338 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 7338 and 7346, than apply into the LCM equation.

GCF(7338,7346) = 2
LCM(7338,7346) = ( 7338 × 7346) / 2
LCM(7338,7346) = 53904948 / 2
LCM(7338,7346) = 26952474

Properties of LCM 7338 and 7346

(i) The LCM of 7346 and 7338 is associative

LCM of 7338 and 7346 = LCM of 7346 and 7338

Related Least Common Multiples of 7338

Related Least Common Multiples of 7346

Frequently Asked Questions on LCM of 7338 and 7346

1. What is the LCM of 7338 and 7346?

Answer: LCM of 7338 and 7346 is 26952474.

2. What are the Factors of 7338?

Answer: Factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338. There are 8 integers that are factors of 7338. The greatest factor of 7338 is 7338.

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 7338 and 7346?

Answer:

Least Common Multiple of 7338 and 7346 = 26952474

Step 1: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

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 = 26952474 = 2 x 3 x 1223 x 3673

Step 4: Therefore, the least common multiple of 7338 and 7346 is 26952474.