Least Common Multiple of 4104 and 4109

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 4109 the smallest integer that is 16863336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4109 is 16863336.

LCM(4104,4109) = 16863336

LCM of 4104 and 4109

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

LCM of:
and

Least Common Multiple of 4104 and 4109

LCM of 4104 and 4109 is 16863336

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4109. First we will calculate the prime factors of 4104 and 4109.

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 4109


7 4109
587 587
1

Prime factors of 4109 are 7,587. Prime factorization of 4109 in exponential form is:

4109 = 71×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4109.

LCM(4104,4109) = 23×33×71×191×5871
LCM(4104,4109) = 16863336

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 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1, 7, 587, 4109

Least Common Multiple of 4104 and 4109 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 4109, than apply into the LCM equation.

GCF(4104,4109) = 1
LCM(4104,4109) = ( 4104 × 4109) / 1
LCM(4104,4109) = 16863336 / 1
LCM(4104,4109) = 16863336

Properties of LCM 4104 and 4109

(i) The LCM of 4109 and 4104 is associative

LCM of 4104 and 4109 = LCM of 4109 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4109

Frequently Asked Questions on LCM of 4104 and 4109

1. What is the LCM of 4104 and 4109?

Answer: LCM of 4104 and 4109 is 16863336.

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 4109?

Answer: Factors of 4109 are 1, 7, 587, 4109. There are 4 integers that are factors of 4109. The greatest factor of 4109 is 4109.

4. How to Find the LCM of 4104 and 4109?

Answer:

Least Common Multiple of 4104 and 4109 = 16863336

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 4109

4109 = 7 x 587

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

LCM = 16863336 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 x 587

Step 4: Therefore, the least common multiple of 4104 and 4109 is 16863336.