Least Common Multiple of 4104 and 4111

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 4111 the smallest integer that is 16871544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4111 is 16871544.

LCM(4104,4111) = 16871544

LCM of 4104 and 4111

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

LCM of:
and

Least Common Multiple of 4104 and 4111

LCM of 4104 and 4111 is 16871544

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4111. First we will calculate the prime factors of 4104 and 4111.

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 4111


4111 4111
1

Prime factors of 4111 are 4111. Prime factorization of 4111 in exponential form is:

4111 = 41111

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4111.

LCM(4104,4111) = 23×33×191×41111
LCM(4104,4111) = 16871544

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 4111

List of positive integer factors of 4111 that divides 4111 without a remainder.

1, 4111

Least Common Multiple of 4104 and 4111 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 4111, than apply into the LCM equation.

GCF(4104,4111) = 1
LCM(4104,4111) = ( 4104 × 4111) / 1
LCM(4104,4111) = 16871544 / 1
LCM(4104,4111) = 16871544

Properties of LCM 4104 and 4111

(i) The LCM of 4111 and 4104 is associative

LCM of 4104 and 4111 = LCM of 4111 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4111

Frequently Asked Questions on LCM of 4104 and 4111

1. What is the LCM of 4104 and 4111?

Answer: LCM of 4104 and 4111 is 16871544.

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 4111?

Answer: Factors of 4111 are 1, 4111. There are 2 integers that are factors of 4111. The greatest factor of 4111 is 4111.

4. How to Find the LCM of 4104 and 4111?

Answer:

Least Common Multiple of 4104 and 4111 = 16871544

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 4111

4111 = 4111

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

LCM = 16871544 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 4111

Step 4: Therefore, the least common multiple of 4104 and 4111 is 16871544.