Least Common Multiple of 4128 and 4133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4128 and 4133 the smallest integer that is 17061024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4128 and 4133 is 17061024.

LCM(4128,4133) = 17061024

LCM of 4128 and 4133

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

LCM of:
and

Least Common Multiple of 4128 and 4133

LCM of 4128 and 4133 is 17061024

Least common multiple can be found by multiplying the highest exponent prime factors of 4128 and 4133. First we will calculate the prime factors of 4128 and 4133.

Prime Factorization of 4128


2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 4128 are 2, 3,43. Prime factorization of 4128 in exponential form is:

4128 = 25×31×431

Prime Factorization of 4133


4133 4133
1

Prime factors of 4133 are 4133. Prime factorization of 4133 in exponential form is:

4133 = 41331

Now multiplying the highest exponent prime factors to calculate the LCM of 4128 and 4133.

LCM(4128,4133) = 25×31×431×41331
LCM(4128,4133) = 17061024

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128

Factors of 4133

List of positive integer factors of 4133 that divides 4133 without a remainder.

1, 4133

Least Common Multiple of 4128 and 4133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4128 and 4133, than apply into the LCM equation.

GCF(4128,4133) = 1
LCM(4128,4133) = ( 4128 × 4133) / 1
LCM(4128,4133) = 17061024 / 1
LCM(4128,4133) = 17061024

Properties of LCM 4128 and 4133

(i) The LCM of 4133 and 4128 is associative

LCM of 4128 and 4133 = LCM of 4133 and 4128

Related Least Common Multiples of 4128

Related Least Common Multiples of 4133

Frequently Asked Questions on LCM of 4128 and 4133

1. What is the LCM of 4128 and 4133?

Answer: LCM of 4128 and 4133 is 17061024.

2. What are the Factors of 4128?

Answer: Factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128. There are 24 integers that are factors of 4128. The greatest factor of 4128 is 4128.

3. What are the Factors of 4133?

Answer: Factors of 4133 are 1, 4133. There are 2 integers that are factors of 4133. The greatest factor of 4133 is 4133.

4. How to Find the LCM of 4128 and 4133?

Answer:

Least Common Multiple of 4128 and 4133 = 17061024

Step 1: Find the prime factorization of 4128

4128 = 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 4133

4133 = 4133

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

LCM = 17061024 = 2 x 2 x 2 x 2 x 2 x 3 x 43 x 4133

Step 4: Therefore, the least common multiple of 4128 and 4133 is 17061024.