Least Common Multiple of 4112 and 4117

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 4117 the smallest integer that is 16929104 that is divisible by both numbers.

Least Common Multiple (LCM) of 4112 and 4117 is 16929104.

LCM(4112,4117) = 16929104

LCM of 4112 and 4117

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

LCM of:
and

Least Common Multiple of 4112 and 4117

LCM of 4112 and 4117 is 16929104

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4117. First we will calculate the prime factors of 4112 and 4117.

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 4117


23 4117
179 179
1

Prime factors of 4117 are 23,179. Prime factorization of 4117 in exponential form is:

4117 = 231×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4112 and 4117.

LCM(4112,4117) = 24×231×1791×2571
LCM(4112,4117) = 16929104

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 4117

List of positive integer factors of 4117 that divides 4117 without a remainder.

1, 23, 179, 4117

Least Common Multiple of 4112 and 4117 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 4117, than apply into the LCM equation.

GCF(4112,4117) = 1
LCM(4112,4117) = ( 4112 × 4117) / 1
LCM(4112,4117) = 16929104 / 1
LCM(4112,4117) = 16929104

Properties of LCM 4112 and 4117

(i) The LCM of 4117 and 4112 is associative

LCM of 4112 and 4117 = LCM of 4117 and 4112

Related Least Common Multiples of 4112

Related Least Common Multiples of 4117

Frequently Asked Questions on LCM of 4112 and 4117

1. What is the LCM of 4112 and 4117?

Answer: LCM of 4112 and 4117 is 16929104.

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 4117?

Answer: Factors of 4117 are 1, 23, 179, 4117. There are 4 integers that are factors of 4117. The greatest factor of 4117 is 4117.

4. How to Find the LCM of 4112 and 4117?

Answer:

Least Common Multiple of 4112 and 4117 = 16929104

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 4117

4117 = 23 x 179

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

LCM = 16929104 = 2 x 2 x 2 x 2 x 23 x 179 x 257

Step 4: Therefore, the least common multiple of 4112 and 4117 is 16929104.