Least Common Multiple of 6056 and 6064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6056 and 6064 the smallest integer that is 4590448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6056 and 6064 is 4590448.

LCM(6056,6064) = 4590448

LCM of 6056 and 6064

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

LCM of:
and

Least Common Multiple of 6056 and 6064

LCM of 6056 and 6064 is 4590448

Least common multiple can be found by multiplying the highest exponent prime factors of 6056 and 6064. First we will calculate the prime factors of 6056 and 6064.

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

Prime Factorization of 6064


2 6064
2 3032
2 1516
2 758
379 379
1

Prime factors of 6064 are 2,379. Prime factorization of 6064 in exponential form is:

6064 = 24×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 6056 and 6064.

LCM(6056,6064) = 24×3791×7571
LCM(6056,6064) = 4590448

Factors of 6056

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

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

Factors of 6064

List of positive integer factors of 6064 that divides 6064 without a remainder.

1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064

Least Common Multiple of 6056 and 6064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6056 and 6064, than apply into the LCM equation.

GCF(6056,6064) = 8
LCM(6056,6064) = ( 6056 × 6064) / 8
LCM(6056,6064) = 36723584 / 8
LCM(6056,6064) = 4590448

Properties of LCM 6056 and 6064

(i) The LCM of 6064 and 6056 is associative

LCM of 6056 and 6064 = LCM of 6064 and 6056

Related Least Common Multiples of 6056

Related Least Common Multiples of 6064

Frequently Asked Questions on LCM of 6056 and 6064

1. What is the LCM of 6056 and 6064?

Answer: LCM of 6056 and 6064 is 4590448.

2. 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.

3. What are the Factors of 6064?

Answer: Factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064. There are 10 integers that are factors of 6064. The greatest factor of 6064 is 6064.

4. How to Find the LCM of 6056 and 6064?

Answer:

Least Common Multiple of 6056 and 6064 = 4590448

Step 1: Find the prime factorization of 6056

6056 = 2 x 2 x 2 x 757

Step 2: Find the prime factorization of 6064

6064 = 2 x 2 x 2 x 2 x 379

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

LCM = 4590448 = 2 x 2 x 2 x 2 x 379 x 757

Step 4: Therefore, the least common multiple of 6056 and 6064 is 4590448.