Least Common Multiple of 4059 and 4062

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 4062 the smallest integer that is 5495886 that is divisible by both numbers.

Least Common Multiple (LCM) of 4059 and 4062 is 5495886.

LCM(4059,4062) = 5495886

LCM of 4059 and 4062

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

LCM of:
and

Least Common Multiple of 4059 and 4062

LCM of 4059 and 4062 is 5495886

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4062. First we will calculate the prime factors of 4059 and 4062.

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 4062


2 4062
3 2031
677 677
1

Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:

4062 = 21×31×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4062.

LCM(4059,4062) = 21×32×111×411×6771
LCM(4059,4062) = 5495886

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 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1, 2, 3, 6, 677, 1354, 2031, 4062

Least Common Multiple of 4059 and 4062 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 4062, than apply into the LCM equation.

GCF(4059,4062) = 3
LCM(4059,4062) = ( 4059 × 4062) / 3
LCM(4059,4062) = 16487658 / 3
LCM(4059,4062) = 5495886

Properties of LCM 4059 and 4062

(i) The LCM of 4062 and 4059 is associative

LCM of 4059 and 4062 = LCM of 4062 and 4059

Related Least Common Multiples of 4059

Related Least Common Multiples of 4062

Frequently Asked Questions on LCM of 4059 and 4062

1. What is the LCM of 4059 and 4062?

Answer: LCM of 4059 and 4062 is 5495886.

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 4062?

Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.

4. How to Find the LCM of 4059 and 4062?

Answer:

Least Common Multiple of 4059 and 4062 = 5495886

Step 1: Find the prime factorization of 4059

4059 = 3 x 3 x 11 x 41

Step 2: Find the prime factorization of 4062

4062 = 2 x 3 x 677

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

LCM = 5495886 = 2 x 3 x 3 x 11 x 41 x 677

Step 4: Therefore, the least common multiple of 4059 and 4062 is 5495886.