Least Common Multiple of 6602 and 6606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6602 and 6606 the smallest integer that is 21806406 that is divisible by both numbers.

Least Common Multiple (LCM) of 6602 and 6606 is 21806406.

LCM(6602,6606) = 21806406

LCM of 6602 and 6606

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

LCM of:
and

Least Common Multiple of 6602 and 6606

LCM of 6602 and 6606 is 21806406

Least common multiple can be found by multiplying the highest exponent prime factors of 6602 and 6606. First we will calculate the prime factors of 6602 and 6606.

Prime Factorization of 6602


2 6602
3301 3301
1

Prime factors of 6602 are 2,3301. Prime factorization of 6602 in exponential form is:

6602 = 21×33011

Prime Factorization of 6606


2 6606
3 3303
3 1101
367 367
1

Prime factors of 6606 are 2, 3,367. Prime factorization of 6606 in exponential form is:

6606 = 21×32×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 6602 and 6606.

LCM(6602,6606) = 21×32×3671×33011
LCM(6602,6606) = 21806406

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1, 2, 3301, 6602

Factors of 6606

List of positive integer factors of 6606 that divides 6606 without a remainder.

1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606

Least Common Multiple of 6602 and 6606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6602 and 6606, than apply into the LCM equation.

GCF(6602,6606) = 2
LCM(6602,6606) = ( 6602 × 6606) / 2
LCM(6602,6606) = 43612812 / 2
LCM(6602,6606) = 21806406

Properties of LCM 6602 and 6606

(i) The LCM of 6606 and 6602 is associative

LCM of 6602 and 6606 = LCM of 6606 and 6602

Related Least Common Multiples of 6602

Related Least Common Multiples of 6606

Frequently Asked Questions on LCM of 6602 and 6606

1. What is the LCM of 6602 and 6606?

Answer: LCM of 6602 and 6606 is 21806406.

2. What are the Factors of 6602?

Answer: Factors of 6602 are 1, 2, 3301, 6602. There are 4 integers that are factors of 6602. The greatest factor of 6602 is 6602.

3. What are the Factors of 6606?

Answer: Factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606. There are 12 integers that are factors of 6606. The greatest factor of 6606 is 6606.

4. How to Find the LCM of 6602 and 6606?

Answer:

Least Common Multiple of 6602 and 6606 = 21806406

Step 1: Find the prime factorization of 6602

6602 = 2 x 3301

Step 2: Find the prime factorization of 6606

6606 = 2 x 3 x 3 x 367

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

LCM = 21806406 = 2 x 3 x 3 x 367 x 3301

Step 4: Therefore, the least common multiple of 6602 and 6606 is 21806406.