Least Common Multiple of 4342 and 4344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4342 and 4344 the smallest integer that is 9430824 that is divisible by both numbers.

Least Common Multiple (LCM) of 4342 and 4344 is 9430824.

LCM(4342,4344) = 9430824

LCM of 4342 and 4344

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

LCM of:
and

Least Common Multiple of 4342 and 4344

LCM of 4342 and 4344 is 9430824

Least common multiple can be found by multiplying the highest exponent prime factors of 4342 and 4344. First we will calculate the prime factors of 4342 and 4344.

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

Prime Factorization of 4344


2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 4344 are 2, 3,181. Prime factorization of 4344 in exponential form is:

4344 = 23×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4342 and 4344.

LCM(4342,4344) = 23×31×131×1671×1811
LCM(4342,4344) = 9430824

Factors of 4342

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

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

Factors of 4344

List of positive integer factors of 4344 that divides 4344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344

Least Common Multiple of 4342 and 4344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4342 and 4344, than apply into the LCM equation.

GCF(4342,4344) = 2
LCM(4342,4344) = ( 4342 × 4344) / 2
LCM(4342,4344) = 18861648 / 2
LCM(4342,4344) = 9430824

Properties of LCM 4342 and 4344

(i) The LCM of 4344 and 4342 is associative

LCM of 4342 and 4344 = LCM of 4344 and 4342

Related Least Common Multiples of 4342

Related Least Common Multiples of 4344

Frequently Asked Questions on LCM of 4342 and 4344

1. What is the LCM of 4342 and 4344?

Answer: LCM of 4342 and 4344 is 9430824.

2. 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.

3. What are the Factors of 4344?

Answer: Factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344. There are 16 integers that are factors of 4344. The greatest factor of 4344 is 4344.

4. How to Find the LCM of 4342 and 4344?

Answer:

Least Common Multiple of 4342 and 4344 = 9430824

Step 1: Find the prime factorization of 4342

4342 = 2 x 13 x 167

Step 2: Find the prime factorization of 4344

4344 = 2 x 2 x 2 x 3 x 181

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

LCM = 9430824 = 2 x 2 x 2 x 3 x 13 x 167 x 181

Step 4: Therefore, the least common multiple of 4342 and 4344 is 9430824.