Least Common Multiple of 4331 and 4336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4331 and 4336 the smallest integer that is 18779216 that is divisible by both numbers.

Least Common Multiple (LCM) of 4331 and 4336 is 18779216.

LCM(4331,4336) = 18779216

LCM of 4331 and 4336

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

LCM of:
and

Least Common Multiple of 4331 and 4336

LCM of 4331 and 4336 is 18779216

Least common multiple can be found by multiplying the highest exponent prime factors of 4331 and 4336. First we will calculate the prime factors of 4331 and 4336.

Prime Factorization of 4331


61 4331
71 71
1

Prime factors of 4331 are 61,71. Prime factorization of 4331 in exponential form is:

4331 = 611×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4331 and 4336.

LCM(4331,4336) = 24×611×711×2711
LCM(4331,4336) = 18779216

Factors of 4331

List of positive integer factors of 4331 that divides 4331 without a remainder.

1, 61, 71, 4331

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

Least Common Multiple of 4331 and 4336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4331 and 4336, than apply into the LCM equation.

GCF(4331,4336) = 1
LCM(4331,4336) = ( 4331 × 4336) / 1
LCM(4331,4336) = 18779216 / 1
LCM(4331,4336) = 18779216

Properties of LCM 4331 and 4336

(i) The LCM of 4336 and 4331 is associative

LCM of 4331 and 4336 = LCM of 4336 and 4331

Related Least Common Multiples of 4331

Related Least Common Multiples of 4336

Frequently Asked Questions on LCM of 4331 and 4336

1. What is the LCM of 4331 and 4336?

Answer: LCM of 4331 and 4336 is 18779216.

2. What are the Factors of 4331?

Answer: Factors of 4331 are 1, 61, 71, 4331. There are 4 integers that are factors of 4331. The greatest factor of 4331 is 4331.

3. 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.

4. How to Find the LCM of 4331 and 4336?

Answer:

Least Common Multiple of 4331 and 4336 = 18779216

Step 1: Find the prime factorization of 4331

4331 = 61 x 71

Step 2: Find the prime factorization of 4336

4336 = 2 x 2 x 2 x 2 x 271

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

LCM = 18779216 = 2 x 2 x 2 x 2 x 61 x 71 x 271

Step 4: Therefore, the least common multiple of 4331 and 4336 is 18779216.