Least Common Multiple of 4115 and 4123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4115 and 4123 the smallest integer that is 16966145 that is divisible by both numbers.

Least Common Multiple (LCM) of 4115 and 4123 is 16966145.

LCM(4115,4123) = 16966145

LCM of 4115 and 4123

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

LCM of:
and

Least Common Multiple of 4115 and 4123

LCM of 4115 and 4123 is 16966145

Least common multiple can be found by multiplying the highest exponent prime factors of 4115 and 4123. First we will calculate the prime factors of 4115 and 4123.

Prime Factorization of 4115


5 4115
823 823
1

Prime factors of 4115 are 5,823. Prime factorization of 4115 in exponential form is:

4115 = 51×8231

Prime Factorization of 4123


7 4123
19 589
31 31
1

Prime factors of 4123 are 7, 19,31. Prime factorization of 4123 in exponential form is:

4123 = 71×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4115 and 4123.

LCM(4115,4123) = 51×71×191×311×8231
LCM(4115,4123) = 16966145

Factors of 4115

List of positive integer factors of 4115 that divides 4115 without a remainder.

1, 5, 823, 4115

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1, 7, 19, 31, 133, 217, 589, 4123

Least Common Multiple of 4115 and 4123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4115 and 4123, than apply into the LCM equation.

GCF(4115,4123) = 1
LCM(4115,4123) = ( 4115 × 4123) / 1
LCM(4115,4123) = 16966145 / 1
LCM(4115,4123) = 16966145

Properties of LCM 4115 and 4123

(i) The LCM of 4123 and 4115 is associative

LCM of 4115 and 4123 = LCM of 4123 and 4115

Related Least Common Multiples of 4115

Related Least Common Multiples of 4123

Frequently Asked Questions on LCM of 4115 and 4123

1. What is the LCM of 4115 and 4123?

Answer: LCM of 4115 and 4123 is 16966145.

2. What are the Factors of 4115?

Answer: Factors of 4115 are 1, 5, 823, 4115. There are 4 integers that are factors of 4115. The greatest factor of 4115 is 4115.

3. What are the Factors of 4123?

Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.

4. How to Find the LCM of 4115 and 4123?

Answer:

Least Common Multiple of 4115 and 4123 = 16966145

Step 1: Find the prime factorization of 4115

4115 = 5 x 823

Step 2: Find the prime factorization of 4123

4123 = 7 x 19 x 31

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

LCM = 16966145 = 5 x 7 x 19 x 31 x 823

Step 4: Therefore, the least common multiple of 4115 and 4123 is 16966145.