Least Common Multiple of 6011 and 6016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6011 and 6016 the smallest integer that is 36162176 that is divisible by both numbers.

Least Common Multiple (LCM) of 6011 and 6016 is 36162176.

LCM(6011,6016) = 36162176

LCM of 6011 and 6016

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

LCM of:
and

Least Common Multiple of 6011 and 6016

LCM of 6011 and 6016 is 36162176

Least common multiple can be found by multiplying the highest exponent prime factors of 6011 and 6016. First we will calculate the prime factors of 6011 and 6016.

Prime Factorization of 6011


6011 6011
1

Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:

6011 = 60111

Prime Factorization of 6016


2 6016
2 3008
2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 6016 are 2,47. Prime factorization of 6016 in exponential form is:

6016 = 27×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6011 and 6016.

LCM(6011,6016) = 27×471×60111
LCM(6011,6016) = 36162176

Factors of 6011

List of positive integer factors of 6011 that divides 6011 without a remainder.

1, 6011

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016

Least Common Multiple of 6011 and 6016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6011 and 6016, than apply into the LCM equation.

GCF(6011,6016) = 1
LCM(6011,6016) = ( 6011 × 6016) / 1
LCM(6011,6016) = 36162176 / 1
LCM(6011,6016) = 36162176

Properties of LCM 6011 and 6016

(i) The LCM of 6016 and 6011 is associative

LCM of 6011 and 6016 = LCM of 6016 and 6011

Related Least Common Multiples of 6011

Related Least Common Multiples of 6016

Frequently Asked Questions on LCM of 6011 and 6016

1. What is the LCM of 6011 and 6016?

Answer: LCM of 6011 and 6016 is 36162176.

2. What are the Factors of 6011?

Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.

3. What are the Factors of 6016?

Answer: Factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016. There are 16 integers that are factors of 6016. The greatest factor of 6016 is 6016.

4. How to Find the LCM of 6011 and 6016?

Answer:

Least Common Multiple of 6011 and 6016 = 36162176

Step 1: Find the prime factorization of 6011

6011 = 6011

Step 2: Find the prime factorization of 6016

6016 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 47

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

LCM = 36162176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 47 x 6011

Step 4: Therefore, the least common multiple of 6011 and 6016 is 36162176.