Least Common Multiple of 4337 and 4342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4337 and 4342 the smallest integer that is 18831254 that is divisible by both numbers.

Least Common Multiple (LCM) of 4337 and 4342 is 18831254.

LCM(4337,4342) = 18831254

LCM of 4337 and 4342

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

LCM of:
and

Least Common Multiple of 4337 and 4342

LCM of 4337 and 4342 is 18831254

Least common multiple can be found by multiplying the highest exponent prime factors of 4337 and 4342. First we will calculate the prime factors of 4337 and 4342.

Prime Factorization of 4337


4337 4337
1

Prime factors of 4337 are 4337. Prime factorization of 4337 in exponential form is:

4337 = 43371

Prime Factorization of 4342


2 4342
13 2171
167 167
1

Prime factors of 4342 are 2, 13,167. Prime factorization of 4342 in exponential form is:

4342 = 21×131×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4337 and 4342.

LCM(4337,4342) = 21×131×1671×43371
LCM(4337,4342) = 18831254

Factors of 4337

List of positive integer factors of 4337 that divides 4337 without a remainder.

1, 4337

Factors of 4342

List of positive integer factors of 4342 that divides 4342 without a remainder.

1, 2, 13, 26, 167, 334, 2171, 4342

Least Common Multiple of 4337 and 4342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4337 and 4342, than apply into the LCM equation.

GCF(4337,4342) = 1
LCM(4337,4342) = ( 4337 × 4342) / 1
LCM(4337,4342) = 18831254 / 1
LCM(4337,4342) = 18831254

Properties of LCM 4337 and 4342

(i) The LCM of 4342 and 4337 is associative

LCM of 4337 and 4342 = LCM of 4342 and 4337

Related Least Common Multiples of 4337

Related Least Common Multiples of 4342

Frequently Asked Questions on LCM of 4337 and 4342

1. What is the LCM of 4337 and 4342?

Answer: LCM of 4337 and 4342 is 18831254.

2. What are the Factors of 4337?

Answer: Factors of 4337 are 1, 4337. There are 2 integers that are factors of 4337. The greatest factor of 4337 is 4337.

3. What are the Factors of 4342?

Answer: Factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342. There are 8 integers that are factors of 4342. The greatest factor of 4342 is 4342.

4. How to Find the LCM of 4337 and 4342?

Answer:

Least Common Multiple of 4337 and 4342 = 18831254

Step 1: Find the prime factorization of 4337

4337 = 4337

Step 2: Find the prime factorization of 4342

4342 = 2 x 13 x 167

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

LCM = 18831254 = 2 x 13 x 167 x 4337

Step 4: Therefore, the least common multiple of 4337 and 4342 is 18831254.