Least Common Multiple of 6047 and 6052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6047 and 6052 the smallest integer that is 36596444 that is divisible by both numbers.

Least Common Multiple (LCM) of 6047 and 6052 is 36596444.

LCM(6047,6052) = 36596444

LCM of 6047 and 6052

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

LCM of:
and

Least Common Multiple of 6047 and 6052

LCM of 6047 and 6052 is 36596444

Least common multiple can be found by multiplying the highest exponent prime factors of 6047 and 6052. First we will calculate the prime factors of 6047 and 6052.

Prime Factorization of 6047


6047 6047
1

Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:

6047 = 60471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6047 and 6052.

LCM(6047,6052) = 22×171×891×60471
LCM(6047,6052) = 36596444

Factors of 6047

List of positive integer factors of 6047 that divides 6047 without a remainder.

1, 6047

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

Least Common Multiple of 6047 and 6052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6047 and 6052, than apply into the LCM equation.

GCF(6047,6052) = 1
LCM(6047,6052) = ( 6047 × 6052) / 1
LCM(6047,6052) = 36596444 / 1
LCM(6047,6052) = 36596444

Properties of LCM 6047 and 6052

(i) The LCM of 6052 and 6047 is associative

LCM of 6047 and 6052 = LCM of 6052 and 6047

Related Least Common Multiples of 6047

Related Least Common Multiples of 6052

Frequently Asked Questions on LCM of 6047 and 6052

1. What is the LCM of 6047 and 6052?

Answer: LCM of 6047 and 6052 is 36596444.

2. What are the Factors of 6047?

Answer: Factors of 6047 are 1, 6047. There are 2 integers that are factors of 6047. The greatest factor of 6047 is 6047.

3. 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.

4. How to Find the LCM of 6047 and 6052?

Answer:

Least Common Multiple of 6047 and 6052 = 36596444

Step 1: Find the prime factorization of 6047

6047 = 6047

Step 2: Find the prime factorization of 6052

6052 = 2 x 2 x 17 x 89

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

LCM = 36596444 = 2 x 2 x 17 x 89 x 6047

Step 4: Therefore, the least common multiple of 6047 and 6052 is 36596444.