Least Common Multiple of 4338 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 4338 and 4342 the smallest integer that is 9417798 that is divisible by both numbers.

Least Common Multiple (LCM) of 4338 and 4342 is 9417798.

LCM(4338,4342) = 9417798

LCM of 4338 and 4342

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

LCM of:
and

Least Common Multiple of 4338 and 4342

LCM of 4338 and 4342 is 9417798

Least common multiple can be found by multiplying the highest exponent prime factors of 4338 and 4342. First we will calculate the prime factors of 4338 and 4342.

Prime Factorization of 4338


2 4338
3 2169
3 723
241 241
1

Prime factors of 4338 are 2, 3,241. Prime factorization of 4338 in exponential form is:

4338 = 21×32×2411

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 4338 and 4342.

LCM(4338,4342) = 21×32×131×1671×2411
LCM(4338,4342) = 9417798

Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338

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 4338 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 4338 and 4342, than apply into the LCM equation.

GCF(4338,4342) = 2
LCM(4338,4342) = ( 4338 × 4342) / 2
LCM(4338,4342) = 18835596 / 2
LCM(4338,4342) = 9417798

Properties of LCM 4338 and 4342

(i) The LCM of 4342 and 4338 is associative

LCM of 4338 and 4342 = LCM of 4342 and 4338

Related Least Common Multiples of 4338

Related Least Common Multiples of 4342

Frequently Asked Questions on LCM of 4338 and 4342

1. What is the LCM of 4338 and 4342?

Answer: LCM of 4338 and 4342 is 9417798.

2. What are the Factors of 4338?

Answer: Factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338. There are 12 integers that are factors of 4338. The greatest factor of 4338 is 4338.

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 4338 and 4342?

Answer:

Least Common Multiple of 4338 and 4342 = 9417798

Step 1: Find the prime factorization of 4338

4338 = 2 x 3 x 3 x 241

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 = 9417798 = 2 x 3 x 3 x 13 x 167 x 241

Step 4: Therefore, the least common multiple of 4338 and 4342 is 9417798.