Least Common Multiple of 6052 and 6059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6052 and 6059 the smallest integer that is 36669068 that is divisible by both numbers.

Least Common Multiple (LCM) of 6052 and 6059 is 36669068.

LCM(6052,6059) = 36669068

LCM of 6052 and 6059

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

LCM of:
and

Least Common Multiple of 6052 and 6059

LCM of 6052 and 6059 is 36669068

Least common multiple can be found by multiplying the highest exponent prime factors of 6052 and 6059. First we will calculate the prime factors of 6052 and 6059.

Prime Factorization of 6052


2 6052
2 3026
17 1513
89 89
1

Prime factors of 6052 are 2, 17,89. Prime factorization of 6052 in exponential form is:

6052 = 22×171×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6052 and 6059.

LCM(6052,6059) = 22×171×731×831×891
LCM(6052,6059) = 36669068

Factors of 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052

Factors of 6059

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

1, 73, 83, 6059

Least Common Multiple of 6052 and 6059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6052 and 6059, than apply into the LCM equation.

GCF(6052,6059) = 1
LCM(6052,6059) = ( 6052 × 6059) / 1
LCM(6052,6059) = 36669068 / 1
LCM(6052,6059) = 36669068

Properties of LCM 6052 and 6059

(i) The LCM of 6059 and 6052 is associative

LCM of 6052 and 6059 = LCM of 6059 and 6052

Related Least Common Multiples of 6052

Related Least Common Multiples of 6059

Frequently Asked Questions on LCM of 6052 and 6059

1. What is the LCM of 6052 and 6059?

Answer: LCM of 6052 and 6059 is 36669068.

2. What are the Factors of 6052?

Answer: Factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052. There are 12 integers that are factors of 6052. The greatest factor of 6052 is 6052.

3. 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.

4. How to Find the LCM of 6052 and 6059?

Answer:

Least Common Multiple of 6052 and 6059 = 36669068

Step 1: Find the prime factorization of 6052

6052 = 2 x 2 x 17 x 89

Step 2: Find the prime factorization of 6059

6059 = 73 x 83

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

LCM = 36669068 = 2 x 2 x 17 x 73 x 83 x 89

Step 4: Therefore, the least common multiple of 6052 and 6059 is 36669068.