Least Common Multiple of 2335 and 2342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2335 and 2342 the smallest integer that is 5468570 that is divisible by both numbers.

Least Common Multiple (LCM) of 2335 and 2342 is 5468570.

LCM(2335,2342) = 5468570

LCM of 2335 and 2342

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

LCM of:
and

Least Common Multiple of 2335 and 2342

LCM of 2335 and 2342 is 5468570

Least common multiple can be found by multiplying the highest exponent prime factors of 2335 and 2342. First we will calculate the prime factors of 2335 and 2342.

Prime Factorization of 2335


5 2335
467 467
1

Prime factors of 2335 are 5,467. Prime factorization of 2335 in exponential form is:

2335 = 51×4671

Prime Factorization of 2342


2 2342
1171 1171
1

Prime factors of 2342 are 2,1171. Prime factorization of 2342 in exponential form is:

2342 = 21×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 2335 and 2342.

LCM(2335,2342) = 21×51×4671×11711
LCM(2335,2342) = 5468570

Factors of 2335

List of positive integer factors of 2335 that divides 2335 without a remainder.

1, 5, 467, 2335

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1, 2, 1171, 2342

Least Common Multiple of 2335 and 2342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2335 and 2342, than apply into the LCM equation.

GCF(2335,2342) = 1
LCM(2335,2342) = ( 2335 × 2342) / 1
LCM(2335,2342) = 5468570 / 1
LCM(2335,2342) = 5468570

Properties of LCM 2335 and 2342

(i) The LCM of 2342 and 2335 is associative

LCM of 2335 and 2342 = LCM of 2342 and 2335

Related Least Common Multiples of 2335

Related Least Common Multiples of 2342

Frequently Asked Questions on LCM of 2335 and 2342

1. What is the LCM of 2335 and 2342?

Answer: LCM of 2335 and 2342 is 5468570.

2. What are the Factors of 2335?

Answer: Factors of 2335 are 1, 5, 467, 2335. There are 4 integers that are factors of 2335. The greatest factor of 2335 is 2335.

3. What are the Factors of 2342?

Answer: Factors of 2342 are 1, 2, 1171, 2342. There are 4 integers that are factors of 2342. The greatest factor of 2342 is 2342.

4. How to Find the LCM of 2335 and 2342?

Answer:

Least Common Multiple of 2335 and 2342 = 5468570

Step 1: Find the prime factorization of 2335

2335 = 5 x 467

Step 2: Find the prime factorization of 2342

2342 = 2 x 1171

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

LCM = 5468570 = 2 x 5 x 467 x 1171

Step 4: Therefore, the least common multiple of 2335 and 2342 is 5468570.