Least Common Multiple of 4104 and 4110

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 4110 the smallest integer that is 2811240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4110 is 2811240.

LCM(4104,4110) = 2811240

LCM of 4104 and 4110

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

LCM of:
and

Least Common Multiple of 4104 and 4110

LCM of 4104 and 4110 is 2811240

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4110. First we will calculate the prime factors of 4104 and 4110.

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 4110


2 4110
3 2055
5 685
137 137
1

Prime factors of 4110 are 2, 3, 5,137. Prime factorization of 4110 in exponential form is:

4110 = 21×31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4110.

LCM(4104,4110) = 23×33×51×191×1371
LCM(4104,4110) = 2811240

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 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110

Least Common Multiple of 4104 and 4110 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 4110, than apply into the LCM equation.

GCF(4104,4110) = 6
LCM(4104,4110) = ( 4104 × 4110) / 6
LCM(4104,4110) = 16867440 / 6
LCM(4104,4110) = 2811240

Properties of LCM 4104 and 4110

(i) The LCM of 4110 and 4104 is associative

LCM of 4104 and 4110 = LCM of 4110 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4110

Frequently Asked Questions on LCM of 4104 and 4110

1. What is the LCM of 4104 and 4110?

Answer: LCM of 4104 and 4110 is 2811240.

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 4110?

Answer: Factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110. There are 16 integers that are factors of 4110. The greatest factor of 4110 is 4110.

4. How to Find the LCM of 4104 and 4110?

Answer:

Least Common Multiple of 4104 and 4110 = 2811240

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 4110

4110 = 2 x 3 x 5 x 137

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

LCM = 2811240 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 4104 and 4110 is 2811240.