Least Common Multiple of 4336 and 4343

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 4343 the smallest integer that is 18831248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4336 and 4343 is 18831248.

LCM(4336,4343) = 18831248

LCM of 4336 and 4343

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

LCM of:
and

Least Common Multiple of 4336 and 4343

LCM of 4336 and 4343 is 18831248

Least common multiple can be found by multiplying the highest exponent prime factors of 4336 and 4343. First we will calculate the prime factors of 4336 and 4343.

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 4343


43 4343
101 101
1

Prime factors of 4343 are 43,101. Prime factorization of 4343 in exponential form is:

4343 = 431×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4336 and 4343.

LCM(4336,4343) = 24×431×1011×2711
LCM(4336,4343) = 18831248

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 4343

List of positive integer factors of 4343 that divides 4343 without a remainder.

1, 43, 101, 4343

Least Common Multiple of 4336 and 4343 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 4343, than apply into the LCM equation.

GCF(4336,4343) = 1
LCM(4336,4343) = ( 4336 × 4343) / 1
LCM(4336,4343) = 18831248 / 1
LCM(4336,4343) = 18831248

Properties of LCM 4336 and 4343

(i) The LCM of 4343 and 4336 is associative

LCM of 4336 and 4343 = LCM of 4343 and 4336

Related Least Common Multiples of 4336

Related Least Common Multiples of 4343

Frequently Asked Questions on LCM of 4336 and 4343

1. What is the LCM of 4336 and 4343?

Answer: LCM of 4336 and 4343 is 18831248.

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 4343?

Answer: Factors of 4343 are 1, 43, 101, 4343. There are 4 integers that are factors of 4343. The greatest factor of 4343 is 4343.

4. How to Find the LCM of 4336 and 4343?

Answer:

Least Common Multiple of 4336 and 4343 = 18831248

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 4343

4343 = 43 x 101

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

LCM = 18831248 = 2 x 2 x 2 x 2 x 43 x 101 x 271

Step 4: Therefore, the least common multiple of 4336 and 4343 is 18831248.