Least Common Multiple of 4059 and 4060

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 4060 the smallest integer that is 16479540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4059 and 4060 is 16479540.

LCM(4059,4060) = 16479540

LCM of 4059 and 4060

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

LCM of:
and

Least Common Multiple of 4059 and 4060

LCM of 4059 and 4060 is 16479540

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4060. First we will calculate the prime factors of 4059 and 4060.

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 4060


2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 4060 are 2, 5, 7,29. Prime factorization of 4060 in exponential form is:

4060 = 22×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4060.

LCM(4059,4060) = 22×32×51×71×111×291×411
LCM(4059,4060) = 16479540

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 4060

List of positive integer factors of 4060 that divides 4060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060

Least Common Multiple of 4059 and 4060 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 4060, than apply into the LCM equation.

GCF(4059,4060) = 1
LCM(4059,4060) = ( 4059 × 4060) / 1
LCM(4059,4060) = 16479540 / 1
LCM(4059,4060) = 16479540

Properties of LCM 4059 and 4060

(i) The LCM of 4060 and 4059 is associative

LCM of 4059 and 4060 = LCM of 4060 and 4059

Related Least Common Multiples of 4059

Related Least Common Multiples of 4060

Frequently Asked Questions on LCM of 4059 and 4060

1. What is the LCM of 4059 and 4060?

Answer: LCM of 4059 and 4060 is 16479540.

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 4060?

Answer: Factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060. There are 24 integers that are factors of 4060. The greatest factor of 4060 is 4060.

4. How to Find the LCM of 4059 and 4060?

Answer:

Least Common Multiple of 4059 and 4060 = 16479540

Step 1: Find the prime factorization of 4059

4059 = 3 x 3 x 11 x 41

Step 2: Find the prime factorization of 4060

4060 = 2 x 2 x 5 x 7 x 29

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

LCM = 16479540 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 29 x 41

Step 4: Therefore, the least common multiple of 4059 and 4060 is 16479540.