Least Common Multiple of 6607 and 6612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6607 and 6612 the smallest integer that is 43685484 that is divisible by both numbers.

Least Common Multiple (LCM) of 6607 and 6612 is 43685484.

LCM(6607,6612) = 43685484

LCM of 6607 and 6612

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

LCM of:
and

Least Common Multiple of 6607 and 6612

LCM of 6607 and 6612 is 43685484

Least common multiple can be found by multiplying the highest exponent prime factors of 6607 and 6612. First we will calculate the prime factors of 6607 and 6612.

Prime Factorization of 6607


6607 6607
1

Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:

6607 = 66071

Prime Factorization of 6612


2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 6612 are 2, 3, 19,29. Prime factorization of 6612 in exponential form is:

6612 = 22×31×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6607 and 6612.

LCM(6607,6612) = 22×31×191×291×66071
LCM(6607,6612) = 43685484

Factors of 6607

List of positive integer factors of 6607 that divides 6607 without a remainder.

1, 6607

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612

Least Common Multiple of 6607 and 6612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6607 and 6612, than apply into the LCM equation.

GCF(6607,6612) = 1
LCM(6607,6612) = ( 6607 × 6612) / 1
LCM(6607,6612) = 43685484 / 1
LCM(6607,6612) = 43685484

Properties of LCM 6607 and 6612

(i) The LCM of 6612 and 6607 is associative

LCM of 6607 and 6612 = LCM of 6612 and 6607

Related Least Common Multiples of 6607

Related Least Common Multiples of 6612

Frequently Asked Questions on LCM of 6607 and 6612

1. What is the LCM of 6607 and 6612?

Answer: LCM of 6607 and 6612 is 43685484.

2. What are the Factors of 6607?

Answer: Factors of 6607 are 1, 6607. There are 2 integers that are factors of 6607. The greatest factor of 6607 is 6607.

3. What are the Factors of 6612?

Answer: Factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612. There are 24 integers that are factors of 6612. The greatest factor of 6612 is 6612.

4. How to Find the LCM of 6607 and 6612?

Answer:

Least Common Multiple of 6607 and 6612 = 43685484

Step 1: Find the prime factorization of 6607

6607 = 6607

Step 2: Find the prime factorization of 6612

6612 = 2 x 2 x 3 x 19 x 29

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

LCM = 43685484 = 2 x 2 x 3 x 19 x 29 x 6607

Step 4: Therefore, the least common multiple of 6607 and 6612 is 43685484.