Least Common Multiple of 6064 and 6066

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 6066 the smallest integer that is 18392112 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6066 is 18392112.

LCM(6064,6066) = 18392112

LCM of 6064 and 6066

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

LCM of:
and

Least Common Multiple of 6064 and 6066

LCM of 6064 and 6066 is 18392112

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6066. First we will calculate the prime factors of 6064 and 6066.

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 6066


2 6066
3 3033
3 1011
337 337
1

Prime factors of 6066 are 2, 3,337. Prime factorization of 6066 in exponential form is:

6066 = 21×32×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 6064 and 6066.

LCM(6064,6066) = 24×32×3371×3791
LCM(6064,6066) = 18392112

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 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

Least Common Multiple of 6064 and 6066 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 6066, than apply into the LCM equation.

GCF(6064,6066) = 2
LCM(6064,6066) = ( 6064 × 6066) / 2
LCM(6064,6066) = 36784224 / 2
LCM(6064,6066) = 18392112

Properties of LCM 6064 and 6066

(i) The LCM of 6066 and 6064 is associative

LCM of 6064 and 6066 = LCM of 6066 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6066

Frequently Asked Questions on LCM of 6064 and 6066

1. What is the LCM of 6064 and 6066?

Answer: LCM of 6064 and 6066 is 18392112.

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 6066?

Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.

4. How to Find the LCM of 6064 and 6066?

Answer:

Least Common Multiple of 6064 and 6066 = 18392112

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 6066

6066 = 2 x 3 x 3 x 337

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

LCM = 18392112 = 2 x 2 x 2 x 2 x 3 x 3 x 337 x 379

Step 4: Therefore, the least common multiple of 6064 and 6066 is 18392112.