Least Common Multiple of 4059 and 4063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4059 and 4063 the smallest integer that is 16491717 that is divisible by both numbers.

Least Common Multiple (LCM) of 4059 and 4063 is 16491717.

LCM(4059,4063) = 16491717

LCM of 4059 and 4063

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

LCM of:
and

Least Common Multiple of 4059 and 4063

LCM of 4059 and 4063 is 16491717

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4063. First we will calculate the prime factors of 4059 and 4063.

Prime Factorization of 4059


3 4059
3 1353
11 451
41 41
1

Prime factors of 4059 are 3, 11,41. Prime factorization of 4059 in exponential form is:

4059 = 32×111×411

Prime Factorization of 4063


17 4063
239 239
1

Prime factors of 4063 are 17,239. Prime factorization of 4063 in exponential form is:

4063 = 171×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4063.

LCM(4059,4063) = 32×111×171×411×2391
LCM(4059,4063) = 16491717

Factors of 4059

List of positive integer factors of 4059 that divides 4059 without a remainder.

1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

Factors of 4063

List of positive integer factors of 4063 that divides 4063 without a remainder.

1, 17, 239, 4063

Least Common Multiple of 4059 and 4063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4059 and 4063, than apply into the LCM equation.

GCF(4059,4063) = 1
LCM(4059,4063) = ( 4059 × 4063) / 1
LCM(4059,4063) = 16491717 / 1
LCM(4059,4063) = 16491717

Properties of LCM 4059 and 4063

(i) The LCM of 4063 and 4059 is associative

LCM of 4059 and 4063 = LCM of 4063 and 4059

Related Least Common Multiples of 4059

Related Least Common Multiples of 4063

Frequently Asked Questions on LCM of 4059 and 4063

1. What is the LCM of 4059 and 4063?

Answer: LCM of 4059 and 4063 is 16491717.

2. What are the Factors of 4059?

Answer: Factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059. There are 12 integers that are factors of 4059. The greatest factor of 4059 is 4059.

3. What are the Factors of 4063?

Answer: Factors of 4063 are 1, 17, 239, 4063. There are 4 integers that are factors of 4063. The greatest factor of 4063 is 4063.

4. How to Find the LCM of 4059 and 4063?

Answer:

Least Common Multiple of 4059 and 4063 = 16491717

Step 1: Find the prime factorization of 4059

4059 = 3 x 3 x 11 x 41

Step 2: Find the prime factorization of 4063

4063 = 17 x 239

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

LCM = 16491717 = 3 x 3 x 11 x 17 x 41 x 239

Step 4: Therefore, the least common multiple of 4059 and 4063 is 16491717.