Least Common Multiple of 7333 and 7339

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 7339 the smallest integer that is 53816887 that is divisible by both numbers.

Least Common Multiple (LCM) of 7333 and 7339 is 53816887.

LCM(7333,7339) = 53816887

LCM of 7333 and 7339

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

LCM of:
and

Least Common Multiple of 7333 and 7339

LCM of 7333 and 7339 is 53816887

Least common multiple can be found by multiplying the highest exponent prime factors of 7333 and 7339. First we will calculate the prime factors of 7333 and 7339.

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 7339


41 7339
179 179
1

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

7339 = 411×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7333 and 7339.

LCM(7333,7339) = 411×1791×73331
LCM(7333,7339) = 53816887

Factors of 7333

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

1, 7333

Factors of 7339

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

1, 41, 179, 7339

Least Common Multiple of 7333 and 7339 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 7339, than apply into the LCM equation.

GCF(7333,7339) = 1
LCM(7333,7339) = ( 7333 × 7339) / 1
LCM(7333,7339) = 53816887 / 1
LCM(7333,7339) = 53816887

Properties of LCM 7333 and 7339

(i) The LCM of 7339 and 7333 is associative

LCM of 7333 and 7339 = LCM of 7339 and 7333

Related Least Common Multiples of 7333

Related Least Common Multiples of 7339

Frequently Asked Questions on LCM of 7333 and 7339

1. What is the LCM of 7333 and 7339?

Answer: LCM of 7333 and 7339 is 53816887.

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 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.

4. How to Find the LCM of 7333 and 7339?

Answer:

Least Common Multiple of 7333 and 7339 = 53816887

Step 1: Find the prime factorization of 7333

7333 = 7333

Step 2: Find the prime factorization of 7339

7339 = 41 x 179

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

LCM = 53816887 = 41 x 179 x 7333

Step 4: Therefore, the least common multiple of 7333 and 7339 is 53816887.