Least Common Multiple of 4105 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 4105 and 4110 the smallest integer that is 3374310 that is divisible by both numbers.

Least Common Multiple (LCM) of 4105 and 4110 is 3374310.

LCM(4105,4110) = 3374310

LCM of 4105 and 4110

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

LCM of:
and

Least Common Multiple of 4105 and 4110

LCM of 4105 and 4110 is 3374310

Least common multiple can be found by multiplying the highest exponent prime factors of 4105 and 4110. First we will calculate the prime factors of 4105 and 4110.

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

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 4105 and 4110.

LCM(4105,4110) = 21×31×51×1371×8211
LCM(4105,4110) = 3374310

Factors of 4105

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

1, 5, 821, 4105

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 4105 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 4105 and 4110, than apply into the LCM equation.

GCF(4105,4110) = 5
LCM(4105,4110) = ( 4105 × 4110) / 5
LCM(4105,4110) = 16871550 / 5
LCM(4105,4110) = 3374310

Properties of LCM 4105 and 4110

(i) The LCM of 4110 and 4105 is associative

LCM of 4105 and 4110 = LCM of 4110 and 4105

Related Least Common Multiples of 4105

Related Least Common Multiples of 4110

Frequently Asked Questions on LCM of 4105 and 4110

1. What is the LCM of 4105 and 4110?

Answer: LCM of 4105 and 4110 is 3374310.

2. 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.

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 4105 and 4110?

Answer:

Least Common Multiple of 4105 and 4110 = 3374310

Step 1: Find the prime factorization of 4105

4105 = 5 x 821

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 = 3374310 = 2 x 3 x 5 x 137 x 821

Step 4: Therefore, the least common multiple of 4105 and 4110 is 3374310.