Least Common Multiple of 4120 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 4120 and 4128 the smallest integer that is 2125920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4120 and 4128 is 2125920.

LCM(4120,4128) = 2125920

LCM of 4120 and 4128

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

LCM of:
and

Least Common Multiple of 4120 and 4128

LCM of 4120 and 4128 is 2125920

Least common multiple can be found by multiplying the highest exponent prime factors of 4120 and 4128. First we will calculate the prime factors of 4120 and 4128.

Prime Factorization of 4120


2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 4120 are 2, 5,103. Prime factorization of 4120 in exponential form is:

4120 = 23×51×1031

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 4120 and 4128.

LCM(4120,4128) = 25×31×51×431×1031
LCM(4120,4128) = 2125920

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

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 4120 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 4120 and 4128, than apply into the LCM equation.

GCF(4120,4128) = 8
LCM(4120,4128) = ( 4120 × 4128) / 8
LCM(4120,4128) = 17007360 / 8
LCM(4120,4128) = 2125920

Properties of LCM 4120 and 4128

(i) The LCM of 4128 and 4120 is associative

LCM of 4120 and 4128 = LCM of 4128 and 4120

Related Least Common Multiples of 4120

Related Least Common Multiples of 4128

Frequently Asked Questions on LCM of 4120 and 4128

1. What is the LCM of 4120 and 4128?

Answer: LCM of 4120 and 4128 is 2125920.

2. What are the Factors of 4120?

Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.

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 4120 and 4128?

Answer:

Least Common Multiple of 4120 and 4128 = 2125920

Step 1: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

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 = 2125920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 43 x 103

Step 4: Therefore, the least common multiple of 4120 and 4128 is 2125920.