Least Common Multiple of 7335 and 7342

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 7342 the smallest integer that is 53853570 that is divisible by both numbers.

Least Common Multiple (LCM) of 7335 and 7342 is 53853570.

LCM(7335,7342) = 53853570

LCM of 7335 and 7342

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

LCM of:
and

Least Common Multiple of 7335 and 7342

LCM of 7335 and 7342 is 53853570

Least common multiple can be found by multiplying the highest exponent prime factors of 7335 and 7342. First we will calculate the prime factors of 7335 and 7342.

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 7342


2 7342
3671 3671
1

Prime factors of 7342 are 2,3671. Prime factorization of 7342 in exponential form is:

7342 = 21×36711

Now multiplying the highest exponent prime factors to calculate the LCM of 7335 and 7342.

LCM(7335,7342) = 21×32×51×1631×36711
LCM(7335,7342) = 53853570

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 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1, 2, 3671, 7342

Least Common Multiple of 7335 and 7342 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 7342, than apply into the LCM equation.

GCF(7335,7342) = 1
LCM(7335,7342) = ( 7335 × 7342) / 1
LCM(7335,7342) = 53853570 / 1
LCM(7335,7342) = 53853570

Properties of LCM 7335 and 7342

(i) The LCM of 7342 and 7335 is associative

LCM of 7335 and 7342 = LCM of 7342 and 7335

Related Least Common Multiples of 7335

Related Least Common Multiples of 7342

Frequently Asked Questions on LCM of 7335 and 7342

1. What is the LCM of 7335 and 7342?

Answer: LCM of 7335 and 7342 is 53853570.

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 7342?

Answer: Factors of 7342 are 1, 2, 3671, 7342. There are 4 integers that are factors of 7342. The greatest factor of 7342 is 7342.

4. How to Find the LCM of 7335 and 7342?

Answer:

Least Common Multiple of 7335 and 7342 = 53853570

Step 1: Find the prime factorization of 7335

7335 = 3 x 3 x 5 x 163

Step 2: Find the prime factorization of 7342

7342 = 2 x 3671

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

LCM = 53853570 = 2 x 3 x 3 x 5 x 163 x 3671

Step 4: Therefore, the least common multiple of 7335 and 7342 is 53853570.