Least Common Multiple of 6066 and 6070

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 6070 the smallest integer that is 18410310 that is divisible by both numbers.

Least Common Multiple (LCM) of 6066 and 6070 is 18410310.

LCM(6066,6070) = 18410310

LCM of 6066 and 6070

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

LCM of:
and

Least Common Multiple of 6066 and 6070

LCM of 6066 and 6070 is 18410310

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6070. First we will calculate the prime factors of 6066 and 6070.

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 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6066 and 6070.

LCM(6066,6070) = 21×32×51×3371×6071
LCM(6066,6070) = 18410310

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 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Least Common Multiple of 6066 and 6070 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 6070, than apply into the LCM equation.

GCF(6066,6070) = 2
LCM(6066,6070) = ( 6066 × 6070) / 2
LCM(6066,6070) = 36820620 / 2
LCM(6066,6070) = 18410310

Properties of LCM 6066 and 6070

(i) The LCM of 6070 and 6066 is associative

LCM of 6066 and 6070 = LCM of 6070 and 6066

Related Least Common Multiples of 6066

Related Least Common Multiples of 6070

Frequently Asked Questions on LCM of 6066 and 6070

1. What is the LCM of 6066 and 6070?

Answer: LCM of 6066 and 6070 is 18410310.

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 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

4. How to Find the LCM of 6066 and 6070?

Answer:

Least Common Multiple of 6066 and 6070 = 18410310

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

Step 2: Find the prime factorization of 6070

6070 = 2 x 5 x 607

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

LCM = 18410310 = 2 x 3 x 3 x 5 x 337 x 607

Step 4: Therefore, the least common multiple of 6066 and 6070 is 18410310.