Least Common Multiple of 7330 and 7337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7330 and 7337 the smallest integer that is 53780210 that is divisible by both numbers.

Least Common Multiple (LCM) of 7330 and 7337 is 53780210.

LCM(7330,7337) = 53780210

LCM of 7330 and 7337

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

LCM of:
and

Least Common Multiple of 7330 and 7337

LCM of 7330 and 7337 is 53780210

Least common multiple can be found by multiplying the highest exponent prime factors of 7330 and 7337. First we will calculate the prime factors of 7330 and 7337.

Prime Factorization of 7330


2 7330
5 3665
733 733
1

Prime factors of 7330 are 2, 5,733. Prime factorization of 7330 in exponential form is:

7330 = 21×51×7331

Prime Factorization of 7337


11 7337
23 667
29 29
1

Prime factors of 7337 are 11, 23,29. Prime factorization of 7337 in exponential form is:

7337 = 111×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7330 and 7337.

LCM(7330,7337) = 21×51×111×231×291×7331
LCM(7330,7337) = 53780210

Factors of 7330

List of positive integer factors of 7330 that divides 7330 without a remainder.

1, 2, 5, 10, 733, 1466, 3665, 7330

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1, 11, 23, 29, 253, 319, 667, 7337

Least Common Multiple of 7330 and 7337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7330 and 7337, than apply into the LCM equation.

GCF(7330,7337) = 1
LCM(7330,7337) = ( 7330 × 7337) / 1
LCM(7330,7337) = 53780210 / 1
LCM(7330,7337) = 53780210

Properties of LCM 7330 and 7337

(i) The LCM of 7337 and 7330 is associative

LCM of 7330 and 7337 = LCM of 7337 and 7330

Related Least Common Multiples of 7330

Related Least Common Multiples of 7337

Frequently Asked Questions on LCM of 7330 and 7337

1. What is the LCM of 7330 and 7337?

Answer: LCM of 7330 and 7337 is 53780210.

2. What are the Factors of 7330?

Answer: Factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330. There are 8 integers that are factors of 7330. The greatest factor of 7330 is 7330.

3. What are the Factors of 7337?

Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.

4. How to Find the LCM of 7330 and 7337?

Answer:

Least Common Multiple of 7330 and 7337 = 53780210

Step 1: Find the prime factorization of 7330

7330 = 2 x 5 x 733

Step 2: Find the prime factorization of 7337

7337 = 11 x 23 x 29

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

LCM = 53780210 = 2 x 5 x 11 x 23 x 29 x 733

Step 4: Therefore, the least common multiple of 7330 and 7337 is 53780210.