Least Common Multiple of 7335 and 7340

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 7340 the smallest integer that is 10767780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7335 and 7340 is 10767780.

LCM(7335,7340) = 10767780

LCM of 7335 and 7340

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

LCM of:
and

Least Common Multiple of 7335 and 7340

LCM of 7335 and 7340 is 10767780

Least common multiple can be found by multiplying the highest exponent prime factors of 7335 and 7340. First we will calculate the prime factors of 7335 and 7340.

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 7340


2 7340
2 3670
5 1835
367 367
1

Prime factors of 7340 are 2, 5,367. Prime factorization of 7340 in exponential form is:

7340 = 22×51×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 7335 and 7340.

LCM(7335,7340) = 22×32×51×1631×3671
LCM(7335,7340) = 10767780

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 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

Least Common Multiple of 7335 and 7340 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 7340, than apply into the LCM equation.

GCF(7335,7340) = 5
LCM(7335,7340) = ( 7335 × 7340) / 5
LCM(7335,7340) = 53838900 / 5
LCM(7335,7340) = 10767780

Properties of LCM 7335 and 7340

(i) The LCM of 7340 and 7335 is associative

LCM of 7335 and 7340 = LCM of 7340 and 7335

Related Least Common Multiples of 7335

Related Least Common Multiples of 7340

Frequently Asked Questions on LCM of 7335 and 7340

1. What is the LCM of 7335 and 7340?

Answer: LCM of 7335 and 7340 is 10767780.

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 7340?

Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.

4. How to Find the LCM of 7335 and 7340?

Answer:

Least Common Multiple of 7335 and 7340 = 10767780

Step 1: Find the prime factorization of 7335

7335 = 3 x 3 x 5 x 163

Step 2: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

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

LCM = 10767780 = 2 x 2 x 3 x 3 x 5 x 163 x 367

Step 4: Therefore, the least common multiple of 7335 and 7340 is 10767780.