Least Common Multiple of 6059 and 6060

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 6060 the smallest integer that is 36717540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6059 and 6060 is 36717540.

LCM(6059,6060) = 36717540

LCM of 6059 and 6060

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

LCM of:
and

Least Common Multiple of 6059 and 6060

LCM of 6059 and 6060 is 36717540

Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6060. First we will calculate the prime factors of 6059 and 6060.

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 6060


2 6060
2 3030
3 1515
5 505
101 101
1

Prime factors of 6060 are 2, 3, 5,101. Prime factorization of 6060 in exponential form is:

6060 = 22×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6059 and 6060.

LCM(6059,6060) = 22×31×51×731×831×1011
LCM(6059,6060) = 36717540

Factors of 6059

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

1, 73, 83, 6059

Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

Least Common Multiple of 6059 and 6060 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 6060, than apply into the LCM equation.

GCF(6059,6060) = 1
LCM(6059,6060) = ( 6059 × 6060) / 1
LCM(6059,6060) = 36717540 / 1
LCM(6059,6060) = 36717540

Properties of LCM 6059 and 6060

(i) The LCM of 6060 and 6059 is associative

LCM of 6059 and 6060 = LCM of 6060 and 6059

Related Least Common Multiples of 6059

Related Least Common Multiples of 6060

Frequently Asked Questions on LCM of 6059 and 6060

1. What is the LCM of 6059 and 6060?

Answer: LCM of 6059 and 6060 is 36717540.

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 6060?

Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.

4. How to Find the LCM of 6059 and 6060?

Answer:

Least Common Multiple of 6059 and 6060 = 36717540

Step 1: Find the prime factorization of 6059

6059 = 73 x 83

Step 2: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

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

LCM = 36717540 = 2 x 2 x 3 x 5 x 73 x 83 x 101

Step 4: Therefore, the least common multiple of 6059 and 6060 is 36717540.