Least Common Multiple of 6052 and 6056

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 6056 the smallest integer that is 9162728 that is divisible by both numbers.

Least Common Multiple (LCM) of 6052 and 6056 is 9162728.

LCM(6052,6056) = 9162728

LCM of 6052 and 6056

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

LCM of:
and

Least Common Multiple of 6052 and 6056

LCM of 6052 and 6056 is 9162728

Least common multiple can be found by multiplying the highest exponent prime factors of 6052 and 6056. First we will calculate the prime factors of 6052 and 6056.

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 6056


2 6056
2 3028
2 1514
757 757
1

Prime factors of 6056 are 2,757. Prime factorization of 6056 in exponential form is:

6056 = 23×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 6052 and 6056.

LCM(6052,6056) = 23×171×891×7571
LCM(6052,6056) = 9162728

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 6056

List of positive integer factors of 6056 that divides 6056 without a remainder.

1, 2, 4, 8, 757, 1514, 3028, 6056

Least Common Multiple of 6052 and 6056 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 6056, than apply into the LCM equation.

GCF(6052,6056) = 4
LCM(6052,6056) = ( 6052 × 6056) / 4
LCM(6052,6056) = 36650912 / 4
LCM(6052,6056) = 9162728

Properties of LCM 6052 and 6056

(i) The LCM of 6056 and 6052 is associative

LCM of 6052 and 6056 = LCM of 6056 and 6052

Related Least Common Multiples of 6052

Related Least Common Multiples of 6056

Frequently Asked Questions on LCM of 6052 and 6056

1. What is the LCM of 6052 and 6056?

Answer: LCM of 6052 and 6056 is 9162728.

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 6056?

Answer: Factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056. There are 8 integers that are factors of 6056. The greatest factor of 6056 is 6056.

4. How to Find the LCM of 6052 and 6056?

Answer:

Least Common Multiple of 6052 and 6056 = 9162728

Step 1: Find the prime factorization of 6052

6052 = 2 x 2 x 17 x 89

Step 2: Find the prime factorization of 6056

6056 = 2 x 2 x 2 x 757

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

LCM = 9162728 = 2 x 2 x 2 x 17 x 89 x 757

Step 4: Therefore, the least common multiple of 6052 and 6056 is 9162728.