Least Common Multiple of 4118 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 4118 and 4125 the smallest integer that is 16986750 that is divisible by both numbers.

Least Common Multiple (LCM) of 4118 and 4125 is 16986750.

LCM(4118,4125) = 16986750

LCM of 4118 and 4125

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

LCM of:
and

Least Common Multiple of 4118 and 4125

LCM of 4118 and 4125 is 16986750

Least common multiple can be found by multiplying the highest exponent prime factors of 4118 and 4125. First we will calculate the prime factors of 4118 and 4125.

Prime Factorization of 4118


2 4118
29 2059
71 71
1

Prime factors of 4118 are 2, 29,71. Prime factorization of 4118 in exponential form is:

4118 = 21×291×711

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 4118 and 4125.

LCM(4118,4125) = 21×31×53×111×291×711
LCM(4118,4125) = 16986750

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1, 2, 29, 58, 71, 142, 2059, 4118

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 4118 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 4118 and 4125, than apply into the LCM equation.

GCF(4118,4125) = 1
LCM(4118,4125) = ( 4118 × 4125) / 1
LCM(4118,4125) = 16986750 / 1
LCM(4118,4125) = 16986750

Properties of LCM 4118 and 4125

(i) The LCM of 4125 and 4118 is associative

LCM of 4118 and 4125 = LCM of 4125 and 4118

Related Least Common Multiples of 4118

Related Least Common Multiples of 4125

Frequently Asked Questions on LCM of 4118 and 4125

1. What is the LCM of 4118 and 4125?

Answer: LCM of 4118 and 4125 is 16986750.

2. What are the Factors of 4118?

Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.

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 4118 and 4125?

Answer:

Least Common Multiple of 4118 and 4125 = 16986750

Step 1: Find the prime factorization of 4118

4118 = 2 x 29 x 71

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 = 16986750 = 2 x 3 x 5 x 5 x 5 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 4118 and 4125 is 16986750.