Least Common Multiple of 4340 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 4340 and 4344 the smallest integer that is 4713240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4340 and 4344 is 4713240.

LCM(4340,4344) = 4713240

LCM of 4340 and 4344

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

LCM of:
and

Least Common Multiple of 4340 and 4344

LCM of 4340 and 4344 is 4713240

Least common multiple can be found by multiplying the highest exponent prime factors of 4340 and 4344. First we will calculate the prime factors of 4340 and 4344.

Prime Factorization of 4340


2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 4340 are 2, 5, 7,31. Prime factorization of 4340 in exponential form is:

4340 = 22×51×71×311

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 4340 and 4344.

LCM(4340,4344) = 23×31×51×71×311×1811
LCM(4340,4344) = 4713240

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340

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 4340 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 4340 and 4344, than apply into the LCM equation.

GCF(4340,4344) = 4
LCM(4340,4344) = ( 4340 × 4344) / 4
LCM(4340,4344) = 18852960 / 4
LCM(4340,4344) = 4713240

Properties of LCM 4340 and 4344

(i) The LCM of 4344 and 4340 is associative

LCM of 4340 and 4344 = LCM of 4344 and 4340

Related Least Common Multiples of 4340

Related Least Common Multiples of 4344

Frequently Asked Questions on LCM of 4340 and 4344

1. What is the LCM of 4340 and 4344?

Answer: LCM of 4340 and 4344 is 4713240.

2. What are the Factors of 4340?

Answer: Factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340. There are 24 integers that are factors of 4340. The greatest factor of 4340 is 4340.

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 4340 and 4344?

Answer:

Least Common Multiple of 4340 and 4344 = 4713240

Step 1: Find the prime factorization of 4340

4340 = 2 x 2 x 5 x 7 x 31

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 = 4713240 = 2 x 2 x 2 x 3 x 5 x 7 x 31 x 181

Step 4: Therefore, the least common multiple of 4340 and 4344 is 4713240.