Least Common Multiple of 7335 and 7341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7335 and 7341 the smallest integer that is 17948745 that is divisible by both numbers.

Least Common Multiple (LCM) of 7335 and 7341 is 17948745.

LCM(7335,7341) = 17948745

LCM of 7335 and 7341

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

LCM of:
and

Least Common Multiple of 7335 and 7341

LCM of 7335 and 7341 is 17948745

Least common multiple can be found by multiplying the highest exponent prime factors of 7335 and 7341. First we will calculate the prime factors of 7335 and 7341.

Prime Factorization of 7335


3 7335
3 2445
5 815
163 163
1

Prime factors of 7335 are 3, 5,163. Prime factorization of 7335 in exponential form is:

7335 = 32×51×1631

Prime Factorization of 7341


3 7341
2447 2447
1

Prime factors of 7341 are 3,2447. Prime factorization of 7341 in exponential form is:

7341 = 31×24471

Now multiplying the highest exponent prime factors to calculate the LCM of 7335 and 7341.

LCM(7335,7341) = 32×51×1631×24471
LCM(7335,7341) = 17948745

Factors of 7335

List of positive integer factors of 7335 that divides 7335 without a remainder.

1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1, 3, 2447, 7341

Least Common Multiple of 7335 and 7341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7335 and 7341, than apply into the LCM equation.

GCF(7335,7341) = 3
LCM(7335,7341) = ( 7335 × 7341) / 3
LCM(7335,7341) = 53846235 / 3
LCM(7335,7341) = 17948745

Properties of LCM 7335 and 7341

(i) The LCM of 7341 and 7335 is associative

LCM of 7335 and 7341 = LCM of 7341 and 7335

Related Least Common Multiples of 7335

Related Least Common Multiples of 7341

Frequently Asked Questions on LCM of 7335 and 7341

1. What is the LCM of 7335 and 7341?

Answer: LCM of 7335 and 7341 is 17948745.

2. What are the Factors of 7335?

Answer: Factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335. There are 12 integers that are factors of 7335. The greatest factor of 7335 is 7335.

3. What are the Factors of 7341?

Answer: Factors of 7341 are 1, 3, 2447, 7341. There are 4 integers that are factors of 7341. The greatest factor of 7341 is 7341.

4. How to Find the LCM of 7335 and 7341?

Answer:

Least Common Multiple of 7335 and 7341 = 17948745

Step 1: Find the prime factorization of 7335

7335 = 3 x 3 x 5 x 163

Step 2: Find the prime factorization of 7341

7341 = 3 x 2447

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

LCM = 17948745 = 3 x 3 x 5 x 163 x 2447

Step 4: Therefore, the least common multiple of 7335 and 7341 is 17948745.