Least Common Multiple of 4112 and 4120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4112 and 4120 the smallest integer that is 2117680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4112 and 4120 is 2117680.

LCM(4112,4120) = 2117680

LCM of 4112 and 4120

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

LCM of:
and

Least Common Multiple of 4112 and 4120

LCM of 4112 and 4120 is 2117680

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4120. First we will calculate the prime factors of 4112 and 4120.

Prime Factorization of 4112


2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 4112 are 2,257. Prime factorization of 4112 in exponential form is:

4112 = 24×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4112 and 4120.

LCM(4112,4120) = 24×51×1031×2571
LCM(4112,4120) = 2117680

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112

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

Least Common Multiple of 4112 and 4120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4112 and 4120, than apply into the LCM equation.

GCF(4112,4120) = 8
LCM(4112,4120) = ( 4112 × 4120) / 8
LCM(4112,4120) = 16941440 / 8
LCM(4112,4120) = 2117680

Properties of LCM 4112 and 4120

(i) The LCM of 4120 and 4112 is associative

LCM of 4112 and 4120 = LCM of 4120 and 4112

Related Least Common Multiples of 4112

Related Least Common Multiples of 4120

Frequently Asked Questions on LCM of 4112 and 4120

1. What is the LCM of 4112 and 4120?

Answer: LCM of 4112 and 4120 is 2117680.

2. What are the Factors of 4112?

Answer: Factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112. There are 10 integers that are factors of 4112. The greatest factor of 4112 is 4112.

3. 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.

4. How to Find the LCM of 4112 and 4120?

Answer:

Least Common Multiple of 4112 and 4120 = 2117680

Step 1: Find the prime factorization of 4112

4112 = 2 x 2 x 2 x 2 x 257

Step 2: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

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

LCM = 2117680 = 2 x 2 x 2 x 2 x 5 x 103 x 257

Step 4: Therefore, the least common multiple of 4112 and 4120 is 2117680.