Least Common Multiple of 4123 and 4127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4123 and 4127 the smallest integer that is 17015621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4123 and 4127 is 17015621.

LCM(4123,4127) = 17015621

LCM of 4123 and 4127

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

LCM of:
and

Least Common Multiple of 4123 and 4127

LCM of 4123 and 4127 is 17015621

Least common multiple can be found by multiplying the highest exponent prime factors of 4123 and 4127. First we will calculate the prime factors of 4123 and 4127.

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

Prime Factorization of 4127


4127 4127
1

Prime factors of 4127 are 4127. Prime factorization of 4127 in exponential form is:

4127 = 41271

Now multiplying the highest exponent prime factors to calculate the LCM of 4123 and 4127.

LCM(4123,4127) = 71×191×311×41271
LCM(4123,4127) = 17015621

Factors of 4123

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

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

Factors of 4127

List of positive integer factors of 4127 that divides 4127 without a remainder.

1, 4127

Least Common Multiple of 4123 and 4127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4123 and 4127, than apply into the LCM equation.

GCF(4123,4127) = 1
LCM(4123,4127) = ( 4123 × 4127) / 1
LCM(4123,4127) = 17015621 / 1
LCM(4123,4127) = 17015621

Properties of LCM 4123 and 4127

(i) The LCM of 4127 and 4123 is associative

LCM of 4123 and 4127 = LCM of 4127 and 4123

Related Least Common Multiples of 4123

Related Least Common Multiples of 4127

Frequently Asked Questions on LCM of 4123 and 4127

1. What is the LCM of 4123 and 4127?

Answer: LCM of 4123 and 4127 is 17015621.

2. 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.

3. What are the Factors of 4127?

Answer: Factors of 4127 are 1, 4127. There are 2 integers that are factors of 4127. The greatest factor of 4127 is 4127.

4. How to Find the LCM of 4123 and 4127?

Answer:

Least Common Multiple of 4123 and 4127 = 17015621

Step 1: Find the prime factorization of 4123

4123 = 7 x 19 x 31

Step 2: Find the prime factorization of 4127

4127 = 4127

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

LCM = 17015621 = 7 x 19 x 31 x 4127

Step 4: Therefore, the least common multiple of 4123 and 4127 is 17015621.