Least Common Multiple of 4117 and 4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4117 and 4125 the smallest integer that is 16982625 that is divisible by both numbers.

Least Common Multiple (LCM) of 4117 and 4125 is 16982625.

LCM(4117,4125) = 16982625

LCM of 4117 and 4125

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

LCM of:
and

Least Common Multiple of 4117 and 4125

LCM of 4117 and 4125 is 16982625

Least common multiple can be found by multiplying the highest exponent prime factors of 4117 and 4125. First we will calculate the prime factors of 4117 and 4125.

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

Prime Factorization of 4125


3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 4125 are 3, 5,11. Prime factorization of 4125 in exponential form is:

4125 = 31×53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4117 and 4125.

LCM(4117,4125) = 31×53×111×231×1791
LCM(4117,4125) = 16982625

Factors of 4117

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

1, 23, 179, 4117

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125

Least Common Multiple of 4117 and 4125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4117 and 4125, than apply into the LCM equation.

GCF(4117,4125) = 1
LCM(4117,4125) = ( 4117 × 4125) / 1
LCM(4117,4125) = 16982625 / 1
LCM(4117,4125) = 16982625

Properties of LCM 4117 and 4125

(i) The LCM of 4125 and 4117 is associative

LCM of 4117 and 4125 = LCM of 4125 and 4117

Related Least Common Multiples of 4117

Related Least Common Multiples of 4125

Frequently Asked Questions on LCM of 4117 and 4125

1. What is the LCM of 4117 and 4125?

Answer: LCM of 4117 and 4125 is 16982625.

2. 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.

3. What are the Factors of 4125?

Answer: Factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125. There are 16 integers that are factors of 4125. The greatest factor of 4125 is 4125.

4. How to Find the LCM of 4117 and 4125?

Answer:

Least Common Multiple of 4117 and 4125 = 16982625

Step 1: Find the prime factorization of 4117

4117 = 23 x 179

Step 2: Find the prime factorization of 4125

4125 = 3 x 5 x 5 x 5 x 11

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

LCM = 16982625 = 3 x 5 x 5 x 5 x 11 x 23 x 179

Step 4: Therefore, the least common multiple of 4117 and 4125 is 16982625.