Least Common Multiple of 4106 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 4106 and 4110 the smallest integer that is 8437830 that is divisible by both numbers.

Least Common Multiple (LCM) of 4106 and 4110 is 8437830.

LCM(4106,4110) = 8437830

LCM of 4106 and 4110

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

LCM of:
and

Least Common Multiple of 4106 and 4110

LCM of 4106 and 4110 is 8437830

Least common multiple can be found by multiplying the highest exponent prime factors of 4106 and 4110. First we will calculate the prime factors of 4106 and 4110.

Prime Factorization of 4106


2 4106
2053 2053
1

Prime factors of 4106 are 2,2053. Prime factorization of 4106 in exponential form is:

4106 = 21×20531

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 4106 and 4110.

LCM(4106,4110) = 21×31×51×1371×20531
LCM(4106,4110) = 8437830

Factors of 4106

List of positive integer factors of 4106 that divides 4106 without a remainder.

1, 2, 2053, 4106

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 4106 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 4106 and 4110, than apply into the LCM equation.

GCF(4106,4110) = 2
LCM(4106,4110) = ( 4106 × 4110) / 2
LCM(4106,4110) = 16875660 / 2
LCM(4106,4110) = 8437830

Properties of LCM 4106 and 4110

(i) The LCM of 4110 and 4106 is associative

LCM of 4106 and 4110 = LCM of 4110 and 4106

Related Least Common Multiples of 4106

Related Least Common Multiples of 4110

Frequently Asked Questions on LCM of 4106 and 4110

1. What is the LCM of 4106 and 4110?

Answer: LCM of 4106 and 4110 is 8437830.

2. What are the Factors of 4106?

Answer: Factors of 4106 are 1, 2, 2053, 4106. There are 4 integers that are factors of 4106. The greatest factor of 4106 is 4106.

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 4106 and 4110?

Answer:

Least Common Multiple of 4106 and 4110 = 8437830

Step 1: Find the prime factorization of 4106

4106 = 2 x 2053

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 = 8437830 = 2 x 3 x 5 x 137 x 2053

Step 4: Therefore, the least common multiple of 4106 and 4110 is 8437830.