Least Common Multiple of 4336 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 4336 and 4344 the smallest integer that is 2354448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4336 and 4344 is 2354448.

LCM(4336,4344) = 2354448

LCM of 4336 and 4344

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

LCM of:
and

Least Common Multiple of 4336 and 4344

LCM of 4336 and 4344 is 2354448

Least common multiple can be found by multiplying the highest exponent prime factors of 4336 and 4344. First we will calculate the prime factors of 4336 and 4344.

Prime Factorization of 4336


2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 4336 are 2,271. Prime factorization of 4336 in exponential form is:

4336 = 24×2711

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 4336 and 4344.

LCM(4336,4344) = 24×31×1811×2711
LCM(4336,4344) = 2354448

Factors of 4336

List of positive integer factors of 4336 that divides 4336 without a remainder.

1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336

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 4336 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 4336 and 4344, than apply into the LCM equation.

GCF(4336,4344) = 8
LCM(4336,4344) = ( 4336 × 4344) / 8
LCM(4336,4344) = 18835584 / 8
LCM(4336,4344) = 2354448

Properties of LCM 4336 and 4344

(i) The LCM of 4344 and 4336 is associative

LCM of 4336 and 4344 = LCM of 4344 and 4336

Related Least Common Multiples of 4336

Related Least Common Multiples of 4344

Frequently Asked Questions on LCM of 4336 and 4344

1. What is the LCM of 4336 and 4344?

Answer: LCM of 4336 and 4344 is 2354448.

2. What are the Factors of 4336?

Answer: Factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336. There are 10 integers that are factors of 4336. The greatest factor of 4336 is 4336.

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 4336 and 4344?

Answer:

Least Common Multiple of 4336 and 4344 = 2354448

Step 1: Find the prime factorization of 4336

4336 = 2 x 2 x 2 x 2 x 271

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 = 2354448 = 2 x 2 x 2 x 2 x 3 x 181 x 271

Step 4: Therefore, the least common multiple of 4336 and 4344 is 2354448.