Least Common Multiple of 7333 and 7338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7333 and 7338 the smallest integer that is 53809554 that is divisible by both numbers.

Least Common Multiple (LCM) of 7333 and 7338 is 53809554.

LCM(7333,7338) = 53809554

LCM of 7333 and 7338

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

LCM of:
and

Least Common Multiple of 7333 and 7338

LCM of 7333 and 7338 is 53809554

Least common multiple can be found by multiplying the highest exponent prime factors of 7333 and 7338. First we will calculate the prime factors of 7333 and 7338.

Prime Factorization of 7333


7333 7333
1

Prime factors of 7333 are 7333. Prime factorization of 7333 in exponential form is:

7333 = 73331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7333 and 7338.

LCM(7333,7338) = 21×31×12231×73331
LCM(7333,7338) = 53809554

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1, 7333

Factors of 7338

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

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

Least Common Multiple of 7333 and 7338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7333 and 7338, than apply into the LCM equation.

GCF(7333,7338) = 1
LCM(7333,7338) = ( 7333 × 7338) / 1
LCM(7333,7338) = 53809554 / 1
LCM(7333,7338) = 53809554

Properties of LCM 7333 and 7338

(i) The LCM of 7338 and 7333 is associative

LCM of 7333 and 7338 = LCM of 7338 and 7333

Related Least Common Multiples of 7333

Related Least Common Multiples of 7338

Frequently Asked Questions on LCM of 7333 and 7338

1. What is the LCM of 7333 and 7338?

Answer: LCM of 7333 and 7338 is 53809554.

2. What are the Factors of 7333?

Answer: Factors of 7333 are 1, 7333. There are 2 integers that are factors of 7333. The greatest factor of 7333 is 7333.

3. 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.

4. How to Find the LCM of 7333 and 7338?

Answer:

Least Common Multiple of 7333 and 7338 = 53809554

Step 1: Find the prime factorization of 7333

7333 = 7333

Step 2: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

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

LCM = 53809554 = 2 x 3 x 1223 x 7333

Step 4: Therefore, the least common multiple of 7333 and 7338 is 53809554.