Least Common Multiple of 6066 and 6073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6066 and 6073 the smallest integer that is 36838818 that is divisible by both numbers.

Least Common Multiple (LCM) of 6066 and 6073 is 36838818.

LCM(6066,6073) = 36838818

LCM of 6066 and 6073

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

LCM of:
and

Least Common Multiple of 6066 and 6073

LCM of 6066 and 6073 is 36838818

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6073. First we will calculate the prime factors of 6066 and 6073.

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

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 6066 and 6073.

LCM(6066,6073) = 21×32×3371×60731
LCM(6066,6073) = 36838818

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

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

Least Common Multiple of 6066 and 6073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6066 and 6073, than apply into the LCM equation.

GCF(6066,6073) = 1
LCM(6066,6073) = ( 6066 × 6073) / 1
LCM(6066,6073) = 36838818 / 1
LCM(6066,6073) = 36838818

Properties of LCM 6066 and 6073

(i) The LCM of 6073 and 6066 is associative

LCM of 6066 and 6073 = LCM of 6073 and 6066

Related Least Common Multiples of 6066

Related Least Common Multiples of 6073

Frequently Asked Questions on LCM of 6066 and 6073

1. What is the LCM of 6066 and 6073?

Answer: LCM of 6066 and 6073 is 36838818.

2. 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.

3. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

4. How to Find the LCM of 6066 and 6073?

Answer:

Least Common Multiple of 6066 and 6073 = 36838818

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

Step 2: Find the prime factorization of 6073

6073 = 6073

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

LCM = 36838818 = 2 x 3 x 3 x 337 x 6073

Step 4: Therefore, the least common multiple of 6066 and 6073 is 36838818.