Least Common Multiple of 6059 and 6062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6059 and 6062 the smallest integer that is 36729658 that is divisible by both numbers.

Least Common Multiple (LCM) of 6059 and 6062 is 36729658.

LCM(6059,6062) = 36729658

LCM of 6059 and 6062

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

LCM of:
and

Least Common Multiple of 6059 and 6062

LCM of 6059 and 6062 is 36729658

Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6062. First we will calculate the prime factors of 6059 and 6062.

Prime Factorization of 6059


73 6059
83 83
1

Prime factors of 6059 are 73,83. Prime factorization of 6059 in exponential form is:

6059 = 731×831

Prime Factorization of 6062


2 6062
7 3031
433 433
1

Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:

6062 = 21×71×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 6059 and 6062.

LCM(6059,6062) = 21×71×731×831×4331
LCM(6059,6062) = 36729658

Factors of 6059

List of positive integer factors of 6059 that divides 6059 without a remainder.

1, 73, 83, 6059

Factors of 6062

List of positive integer factors of 6062 that divides 6062 without a remainder.

1, 2, 7, 14, 433, 866, 3031, 6062

Least Common Multiple of 6059 and 6062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6059 and 6062, than apply into the LCM equation.

GCF(6059,6062) = 1
LCM(6059,6062) = ( 6059 × 6062) / 1
LCM(6059,6062) = 36729658 / 1
LCM(6059,6062) = 36729658

Properties of LCM 6059 and 6062

(i) The LCM of 6062 and 6059 is associative

LCM of 6059 and 6062 = LCM of 6062 and 6059

Related Least Common Multiples of 6059

Related Least Common Multiples of 6062

Frequently Asked Questions on LCM of 6059 and 6062

1. What is the LCM of 6059 and 6062?

Answer: LCM of 6059 and 6062 is 36729658.

2. What are the Factors of 6059?

Answer: Factors of 6059 are 1, 73, 83, 6059. There are 4 integers that are factors of 6059. The greatest factor of 6059 is 6059.

3. What are the Factors of 6062?

Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.

4. How to Find the LCM of 6059 and 6062?

Answer:

Least Common Multiple of 6059 and 6062 = 36729658

Step 1: Find the prime factorization of 6059

6059 = 73 x 83

Step 2: Find the prime factorization of 6062

6062 = 2 x 7 x 433

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

LCM = 36729658 = 2 x 7 x 73 x 83 x 433

Step 4: Therefore, the least common multiple of 6059 and 6062 is 36729658.