Least Common Multiple of 7346 and 7354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7346 and 7354 the smallest integer that is 27011242 that is divisible by both numbers.

Least Common Multiple (LCM) of 7346 and 7354 is 27011242.

LCM(7346,7354) = 27011242

LCM of 7346 and 7354

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

LCM of:
and

Least Common Multiple of 7346 and 7354

LCM of 7346 and 7354 is 27011242

Least common multiple can be found by multiplying the highest exponent prime factors of 7346 and 7354. First we will calculate the prime factors of 7346 and 7354.

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

Prime Factorization of 7354


2 7354
3677 3677
1

Prime factors of 7354 are 2,3677. Prime factorization of 7354 in exponential form is:

7354 = 21×36771

Now multiplying the highest exponent prime factors to calculate the LCM of 7346 and 7354.

LCM(7346,7354) = 21×36731×36771
LCM(7346,7354) = 27011242

Factors of 7346

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

1, 2, 3673, 7346

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1, 2, 3677, 7354

Least Common Multiple of 7346 and 7354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7346 and 7354, than apply into the LCM equation.

GCF(7346,7354) = 2
LCM(7346,7354) = ( 7346 × 7354) / 2
LCM(7346,7354) = 54022484 / 2
LCM(7346,7354) = 27011242

Properties of LCM 7346 and 7354

(i) The LCM of 7354 and 7346 is associative

LCM of 7346 and 7354 = LCM of 7354 and 7346

Related Least Common Multiples of 7346

Related Least Common Multiples of 7354

Frequently Asked Questions on LCM of 7346 and 7354

1. What is the LCM of 7346 and 7354?

Answer: LCM of 7346 and 7354 is 27011242.

2. 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.

3. What are the Factors of 7354?

Answer: Factors of 7354 are 1, 2, 3677, 7354. There are 4 integers that are factors of 7354. The greatest factor of 7354 is 7354.

4. How to Find the LCM of 7346 and 7354?

Answer:

Least Common Multiple of 7346 and 7354 = 27011242

Step 1: Find the prime factorization of 7346

7346 = 2 x 3673

Step 2: Find the prime factorization of 7354

7354 = 2 x 3677

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

LCM = 27011242 = 2 x 3673 x 3677

Step 4: Therefore, the least common multiple of 7346 and 7354 is 27011242.