Least Common Multiple of 6066 and 6074

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 6074 the smallest integer that is 18422442 that is divisible by both numbers.

Least Common Multiple (LCM) of 6066 and 6074 is 18422442.

LCM(6066,6074) = 18422442

LCM of 6066 and 6074

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

LCM of:
and

Least Common Multiple of 6066 and 6074

LCM of 6066 and 6074 is 18422442

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6074. First we will calculate the prime factors of 6066 and 6074.

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 6074


2 6074
3037 3037
1

Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:

6074 = 21×30371

Now multiplying the highest exponent prime factors to calculate the LCM of 6066 and 6074.

LCM(6066,6074) = 21×32×3371×30371
LCM(6066,6074) = 18422442

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 6074

List of positive integer factors of 6074 that divides 6074 without a remainder.

1, 2, 3037, 6074

Least Common Multiple of 6066 and 6074 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 6074, than apply into the LCM equation.

GCF(6066,6074) = 2
LCM(6066,6074) = ( 6066 × 6074) / 2
LCM(6066,6074) = 36844884 / 2
LCM(6066,6074) = 18422442

Properties of LCM 6066 and 6074

(i) The LCM of 6074 and 6066 is associative

LCM of 6066 and 6074 = LCM of 6074 and 6066

Related Least Common Multiples of 6066

Related Least Common Multiples of 6074

Frequently Asked Questions on LCM of 6066 and 6074

1. What is the LCM of 6066 and 6074?

Answer: LCM of 6066 and 6074 is 18422442.

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 6074?

Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.

4. How to Find the LCM of 6066 and 6074?

Answer:

Least Common Multiple of 6066 and 6074 = 18422442

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

Step 2: Find the prime factorization of 6074

6074 = 2 x 3037

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

LCM = 18422442 = 2 x 3 x 3 x 337 x 3037

Step 4: Therefore, the least common multiple of 6066 and 6074 is 18422442.