Least Common Multiple of 4104 and 4112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4104 and 4112 the smallest integer that is 2109456 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4112 is 2109456.

LCM(4104,4112) = 2109456

LCM of 4104 and 4112

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

LCM of:
and

Least Common Multiple of 4104 and 4112

LCM of 4104 and 4112 is 2109456

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4112. First we will calculate the prime factors of 4104 and 4112.

Prime Factorization of 4104


2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 4104 are 2, 3,19. Prime factorization of 4104 in exponential form is:

4104 = 23×33×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4112.

LCM(4104,4112) = 24×33×191×2571
LCM(4104,4112) = 2109456

Factors of 4104

List of positive integer factors of 4104 that divides 4104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104

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

Least Common Multiple of 4104 and 4112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4104 and 4112, than apply into the LCM equation.

GCF(4104,4112) = 8
LCM(4104,4112) = ( 4104 × 4112) / 8
LCM(4104,4112) = 16875648 / 8
LCM(4104,4112) = 2109456

Properties of LCM 4104 and 4112

(i) The LCM of 4112 and 4104 is associative

LCM of 4104 and 4112 = LCM of 4112 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4112

Frequently Asked Questions on LCM of 4104 and 4112

1. What is the LCM of 4104 and 4112?

Answer: LCM of 4104 and 4112 is 2109456.

2. What are the Factors of 4104?

Answer: Factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. There are 32 integers that are factors of 4104. The greatest factor of 4104 is 4104.

3. 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.

4. How to Find the LCM of 4104 and 4112?

Answer:

Least Common Multiple of 4104 and 4112 = 2109456

Step 1: Find the prime factorization of 4104

4104 = 2 x 2 x 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 4112

4112 = 2 x 2 x 2 x 2 x 257

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

LCM = 2109456 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 257

Step 4: Therefore, the least common multiple of 4104 and 4112 is 2109456.