Least Common Multiple of 4112 and 4116

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 4116 the smallest integer that is 4231248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4112 and 4116 is 4231248.

LCM(4112,4116) = 4231248

LCM of 4112 and 4116

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

LCM of:
and

Least Common Multiple of 4112 and 4116

LCM of 4112 and 4116 is 4231248

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4116. First we will calculate the prime factors of 4112 and 4116.

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 4116


2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 4116 are 2, 3,7. Prime factorization of 4116 in exponential form is:

4116 = 22×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 4112 and 4116.

LCM(4112,4116) = 24×31×73×2571
LCM(4112,4116) = 4231248

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 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116

Least Common Multiple of 4112 and 4116 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 4116, than apply into the LCM equation.

GCF(4112,4116) = 4
LCM(4112,4116) = ( 4112 × 4116) / 4
LCM(4112,4116) = 16924992 / 4
LCM(4112,4116) = 4231248

Properties of LCM 4112 and 4116

(i) The LCM of 4116 and 4112 is associative

LCM of 4112 and 4116 = LCM of 4116 and 4112

Related Least Common Multiples of 4112

Related Least Common Multiples of 4116

Frequently Asked Questions on LCM of 4112 and 4116

1. What is the LCM of 4112 and 4116?

Answer: LCM of 4112 and 4116 is 4231248.

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 4116?

Answer: Factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116. There are 24 integers that are factors of 4116. The greatest factor of 4116 is 4116.

4. How to Find the LCM of 4112 and 4116?

Answer:

Least Common Multiple of 4112 and 4116 = 4231248

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 4116

4116 = 2 x 2 x 3 x 7 x 7 x 7

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

LCM = 4231248 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 257

Step 4: Therefore, the least common multiple of 4112 and 4116 is 4231248.