Least Common Multiple of 4068 and 4075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4068 and 4075 the smallest integer that is 16577100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4068 and 4075 is 16577100.

LCM(4068,4075) = 16577100

LCM of 4068 and 4075

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

LCM of:
and

Least Common Multiple of 4068 and 4075

LCM of 4068 and 4075 is 16577100

Least common multiple can be found by multiplying the highest exponent prime factors of 4068 and 4075. First we will calculate the prime factors of 4068 and 4075.

Prime Factorization of 4068


2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 4068 are 2, 3,113. Prime factorization of 4068 in exponential form is:

4068 = 22×32×1131

Prime Factorization of 4075


5 4075
5 815
163 163
1

Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:

4075 = 52×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4068 and 4075.

LCM(4068,4075) = 22×32×52×1131×1631
LCM(4068,4075) = 16577100

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1, 5, 25, 163, 815, 4075

Least Common Multiple of 4068 and 4075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4068 and 4075, than apply into the LCM equation.

GCF(4068,4075) = 1
LCM(4068,4075) = ( 4068 × 4075) / 1
LCM(4068,4075) = 16577100 / 1
LCM(4068,4075) = 16577100

Properties of LCM 4068 and 4075

(i) The LCM of 4075 and 4068 is associative

LCM of 4068 and 4075 = LCM of 4075 and 4068

Related Least Common Multiples of 4068

Related Least Common Multiples of 4075

Frequently Asked Questions on LCM of 4068 and 4075

1. What is the LCM of 4068 and 4075?

Answer: LCM of 4068 and 4075 is 16577100.

2. What are the Factors of 4068?

Answer: Factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068. There are 18 integers that are factors of 4068. The greatest factor of 4068 is 4068.

3. What are the Factors of 4075?

Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.

4. How to Find the LCM of 4068 and 4075?

Answer:

Least Common Multiple of 4068 and 4075 = 16577100

Step 1: Find the prime factorization of 4068

4068 = 2 x 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 4075

4075 = 5 x 5 x 163

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

LCM = 16577100 = 2 x 2 x 3 x 3 x 5 x 5 x 113 x 163

Step 4: Therefore, the least common multiple of 4068 and 4075 is 16577100.