Least Common Multiple of 4121 and 4128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4121 and 4128 the smallest integer that is 17011488 that is divisible by both numbers.

Least Common Multiple (LCM) of 4121 and 4128 is 17011488.

LCM(4121,4128) = 17011488

LCM of 4121 and 4128

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

LCM of:
and

Least Common Multiple of 4121 and 4128

LCM of 4121 and 4128 is 17011488

Least common multiple can be found by multiplying the highest exponent prime factors of 4121 and 4128. First we will calculate the prime factors of 4121 and 4128.

Prime Factorization of 4121


13 4121
317 317
1

Prime factors of 4121 are 13,317. Prime factorization of 4121 in exponential form is:

4121 = 131×3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4121 and 4128.

LCM(4121,4128) = 25×31×131×431×3171
LCM(4121,4128) = 17011488

Factors of 4121

List of positive integer factors of 4121 that divides 4121 without a remainder.

1, 13, 317, 4121

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

Least Common Multiple of 4121 and 4128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4121 and 4128, than apply into the LCM equation.

GCF(4121,4128) = 1
LCM(4121,4128) = ( 4121 × 4128) / 1
LCM(4121,4128) = 17011488 / 1
LCM(4121,4128) = 17011488

Properties of LCM 4121 and 4128

(i) The LCM of 4128 and 4121 is associative

LCM of 4121 and 4128 = LCM of 4128 and 4121

Related Least Common Multiples of 4121

Related Least Common Multiples of 4128

Frequently Asked Questions on LCM of 4121 and 4128

1. What is the LCM of 4121 and 4128?

Answer: LCM of 4121 and 4128 is 17011488.

2. What are the Factors of 4121?

Answer: Factors of 4121 are 1, 13, 317, 4121. There are 4 integers that are factors of 4121. The greatest factor of 4121 is 4121.

3. 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.

4. How to Find the LCM of 4121 and 4128?

Answer:

Least Common Multiple of 4121 and 4128 = 17011488

Step 1: Find the prime factorization of 4121

4121 = 13 x 317

Step 2: Find the prime factorization of 4128

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

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

LCM = 17011488 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 43 x 317

Step 4: Therefore, the least common multiple of 4121 and 4128 is 17011488.