Least Common Multiple of 4344 and 4348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4344 and 4348 the smallest integer that is 4721928 that is divisible by both numbers.

Least Common Multiple (LCM) of 4344 and 4348 is 4721928.

LCM(4344,4348) = 4721928

LCM of 4344 and 4348

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

LCM of:
and

Least Common Multiple of 4344 and 4348

LCM of 4344 and 4348 is 4721928

Least common multiple can be found by multiplying the highest exponent prime factors of 4344 and 4348. First we will calculate the prime factors of 4344 and 4348.

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

Prime Factorization of 4348


2 4348
2 2174
1087 1087
1

Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:

4348 = 22×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 4344 and 4348.

LCM(4344,4348) = 23×31×1811×10871
LCM(4344,4348) = 4721928

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

Factors of 4348

List of positive integer factors of 4348 that divides 4348 without a remainder.

1, 2, 4, 1087, 2174, 4348

Least Common Multiple of 4344 and 4348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4344 and 4348, than apply into the LCM equation.

GCF(4344,4348) = 4
LCM(4344,4348) = ( 4344 × 4348) / 4
LCM(4344,4348) = 18887712 / 4
LCM(4344,4348) = 4721928

Properties of LCM 4344 and 4348

(i) The LCM of 4348 and 4344 is associative

LCM of 4344 and 4348 = LCM of 4348 and 4344

Related Least Common Multiples of 4344

Related Least Common Multiples of 4348

Frequently Asked Questions on LCM of 4344 and 4348

1. What is the LCM of 4344 and 4348?

Answer: LCM of 4344 and 4348 is 4721928.

2. 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.

3. What are the Factors of 4348?

Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.

4. How to Find the LCM of 4344 and 4348?

Answer:

Least Common Multiple of 4344 and 4348 = 4721928

Step 1: Find the prime factorization of 4344

4344 = 2 x 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 4348

4348 = 2 x 2 x 1087

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

LCM = 4721928 = 2 x 2 x 2 x 3 x 181 x 1087

Step 4: Therefore, the least common multiple of 4344 and 4348 is 4721928.