Least Common Multiple of 6064 and 6069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6064 and 6069 the smallest integer that is 36802416 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6069 is 36802416.

LCM(6064,6069) = 36802416

LCM of 6064 and 6069

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

LCM of:
and

Least Common Multiple of 6064 and 6069

LCM of 6064 and 6069 is 36802416

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6069. First we will calculate the prime factors of 6064 and 6069.

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

Prime Factorization of 6069


3 6069
7 2023
17 289
17 17
1

Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:

6069 = 31×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 6064 and 6069.

LCM(6064,6069) = 24×31×71×172×3791
LCM(6064,6069) = 36802416

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

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069

Least Common Multiple of 6064 and 6069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6064 and 6069, than apply into the LCM equation.

GCF(6064,6069) = 1
LCM(6064,6069) = ( 6064 × 6069) / 1
LCM(6064,6069) = 36802416 / 1
LCM(6064,6069) = 36802416

Properties of LCM 6064 and 6069

(i) The LCM of 6069 and 6064 is associative

LCM of 6064 and 6069 = LCM of 6069 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6069

Frequently Asked Questions on LCM of 6064 and 6069

1. What is the LCM of 6064 and 6069?

Answer: LCM of 6064 and 6069 is 36802416.

2. 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.

3. What are the Factors of 6069?

Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.

4. How to Find the LCM of 6064 and 6069?

Answer:

Least Common Multiple of 6064 and 6069 = 36802416

Step 1: Find the prime factorization of 6064

6064 = 2 x 2 x 2 x 2 x 379

Step 2: Find the prime factorization of 6069

6069 = 3 x 7 x 17 x 17

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

LCM = 36802416 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 17 x 379

Step 4: Therefore, the least common multiple of 6064 and 6069 is 36802416.