Least Common Multiple of 4110 and 4117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4110 and 4117 the smallest integer that is 16920870 that is divisible by both numbers.

Least Common Multiple (LCM) of 4110 and 4117 is 16920870.

LCM(4110,4117) = 16920870

LCM of 4110 and 4117

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

LCM of:
and

Least Common Multiple of 4110 and 4117

LCM of 4110 and 4117 is 16920870

Least common multiple can be found by multiplying the highest exponent prime factors of 4110 and 4117. First we will calculate the prime factors of 4110 and 4117.

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

Prime Factorization of 4117


23 4117
179 179
1

Prime factors of 4117 are 23,179. Prime factorization of 4117 in exponential form is:

4117 = 231×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4110 and 4117.

LCM(4110,4117) = 21×31×51×231×1371×1791
LCM(4110,4117) = 16920870

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

Factors of 4117

List of positive integer factors of 4117 that divides 4117 without a remainder.

1, 23, 179, 4117

Least Common Multiple of 4110 and 4117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4110 and 4117, than apply into the LCM equation.

GCF(4110,4117) = 1
LCM(4110,4117) = ( 4110 × 4117) / 1
LCM(4110,4117) = 16920870 / 1
LCM(4110,4117) = 16920870

Properties of LCM 4110 and 4117

(i) The LCM of 4117 and 4110 is associative

LCM of 4110 and 4117 = LCM of 4117 and 4110

Related Least Common Multiples of 4110

Related Least Common Multiples of 4117

Frequently Asked Questions on LCM of 4110 and 4117

1. What is the LCM of 4110 and 4117?

Answer: LCM of 4110 and 4117 is 16920870.

2. 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.

3. What are the Factors of 4117?

Answer: Factors of 4117 are 1, 23, 179, 4117. There are 4 integers that are factors of 4117. The greatest factor of 4117 is 4117.

4. How to Find the LCM of 4110 and 4117?

Answer:

Least Common Multiple of 4110 and 4117 = 16920870

Step 1: Find the prime factorization of 4110

4110 = 2 x 3 x 5 x 137

Step 2: Find the prime factorization of 4117

4117 = 23 x 179

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

LCM = 16920870 = 2 x 3 x 5 x 23 x 137 x 179

Step 4: Therefore, the least common multiple of 4110 and 4117 is 16920870.