Least Common Multiple of 7338 and 7343

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 7343 the smallest integer that is 53882934 that is divisible by both numbers.

Least Common Multiple (LCM) of 7338 and 7343 is 53882934.

LCM(7338,7343) = 53882934

LCM of 7338 and 7343

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

LCM of:
and

Least Common Multiple of 7338 and 7343

LCM of 7338 and 7343 is 53882934

Least common multiple can be found by multiplying the highest exponent prime factors of 7338 and 7343. First we will calculate the prime factors of 7338 and 7343.

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 7343


7 7343
1049 1049
1

Prime factors of 7343 are 7,1049. Prime factorization of 7343 in exponential form is:

7343 = 71×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 7338 and 7343.

LCM(7338,7343) = 21×31×71×10491×12231
LCM(7338,7343) = 53882934

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 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1, 7, 1049, 7343

Least Common Multiple of 7338 and 7343 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 7343, than apply into the LCM equation.

GCF(7338,7343) = 1
LCM(7338,7343) = ( 7338 × 7343) / 1
LCM(7338,7343) = 53882934 / 1
LCM(7338,7343) = 53882934

Properties of LCM 7338 and 7343

(i) The LCM of 7343 and 7338 is associative

LCM of 7338 and 7343 = LCM of 7343 and 7338

Related Least Common Multiples of 7338

Related Least Common Multiples of 7343

Frequently Asked Questions on LCM of 7338 and 7343

1. What is the LCM of 7338 and 7343?

Answer: LCM of 7338 and 7343 is 53882934.

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 7343?

Answer: Factors of 7343 are 1, 7, 1049, 7343. There are 4 integers that are factors of 7343. The greatest factor of 7343 is 7343.

4. How to Find the LCM of 7338 and 7343?

Answer:

Least Common Multiple of 7338 and 7343 = 53882934

Step 1: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

Step 2: Find the prime factorization of 7343

7343 = 7 x 1049

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

LCM = 53882934 = 2 x 3 x 7 x 1049 x 1223

Step 4: Therefore, the least common multiple of 7338 and 7343 is 53882934.