Least Common Multiple of 4120 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 4120 and 4127 the smallest integer that is 17003240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4120 and 4127 is 17003240.

LCM(4120,4127) = 17003240

LCM of 4120 and 4127

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

LCM of:
and

Least Common Multiple of 4120 and 4127

LCM of 4120 and 4127 is 17003240

Least common multiple can be found by multiplying the highest exponent prime factors of 4120 and 4127. First we will calculate the prime factors of 4120 and 4127.

Prime Factorization of 4120


2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 4120 are 2, 5,103. Prime factorization of 4120 in exponential form is:

4120 = 23×51×1031

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 4120 and 4127.

LCM(4120,4127) = 23×51×1031×41271
LCM(4120,4127) = 17003240

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

Factors of 4127

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

1, 4127

Least Common Multiple of 4120 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 4120 and 4127, than apply into the LCM equation.

GCF(4120,4127) = 1
LCM(4120,4127) = ( 4120 × 4127) / 1
LCM(4120,4127) = 17003240 / 1
LCM(4120,4127) = 17003240

Properties of LCM 4120 and 4127

(i) The LCM of 4127 and 4120 is associative

LCM of 4120 and 4127 = LCM of 4127 and 4120

Related Least Common Multiples of 4120

Related Least Common Multiples of 4127

Frequently Asked Questions on LCM of 4120 and 4127

1. What is the LCM of 4120 and 4127?

Answer: LCM of 4120 and 4127 is 17003240.

2. What are the Factors of 4120?

Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.

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 4120 and 4127?

Answer:

Least Common Multiple of 4120 and 4127 = 17003240

Step 1: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

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 = 17003240 = 2 x 2 x 2 x 5 x 103 x 4127

Step 4: Therefore, the least common multiple of 4120 and 4127 is 17003240.