Least Common Multiple of 4104 and 4105

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 4105 the smallest integer that is 16846920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4105 is 16846920.

LCM(4104,4105) = 16846920

LCM of 4104 and 4105

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

LCM of:
and

Least Common Multiple of 4104 and 4105

LCM of 4104 and 4105 is 16846920

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4105. First we will calculate the prime factors of 4104 and 4105.

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 4105


5 4105
821 821
1

Prime factors of 4105 are 5,821. Prime factorization of 4105 in exponential form is:

4105 = 51×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4105.

LCM(4104,4105) = 23×33×51×191×8211
LCM(4104,4105) = 16846920

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 4105

List of positive integer factors of 4105 that divides 4105 without a remainder.

1, 5, 821, 4105

Least Common Multiple of 4104 and 4105 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 4105, than apply into the LCM equation.

GCF(4104,4105) = 1
LCM(4104,4105) = ( 4104 × 4105) / 1
LCM(4104,4105) = 16846920 / 1
LCM(4104,4105) = 16846920

Properties of LCM 4104 and 4105

(i) The LCM of 4105 and 4104 is associative

LCM of 4104 and 4105 = LCM of 4105 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4105

Frequently Asked Questions on LCM of 4104 and 4105

1. What is the LCM of 4104 and 4105?

Answer: LCM of 4104 and 4105 is 16846920.

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 4105?

Answer: Factors of 4105 are 1, 5, 821, 4105. There are 4 integers that are factors of 4105. The greatest factor of 4105 is 4105.

4. How to Find the LCM of 4104 and 4105?

Answer:

Least Common Multiple of 4104 and 4105 = 16846920

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 4105

4105 = 5 x 821

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

LCM = 16846920 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 821

Step 4: Therefore, the least common multiple of 4104 and 4105 is 16846920.