Least Common Multiple of 6604 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 6604 and 6612 the smallest integer that is 10916412 that is divisible by both numbers.

Least Common Multiple (LCM) of 6604 and 6612 is 10916412.

LCM(6604,6612) = 10916412

LCM of 6604 and 6612

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

LCM of:
and

Least Common Multiple of 6604 and 6612

LCM of 6604 and 6612 is 10916412

Least common multiple can be found by multiplying the highest exponent prime factors of 6604 and 6612. First we will calculate the prime factors of 6604 and 6612.

Prime Factorization of 6604


2 6604
2 3302
13 1651
127 127
1

Prime factors of 6604 are 2, 13,127. Prime factorization of 6604 in exponential form is:

6604 = 22×131×1271

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 6604 and 6612.

LCM(6604,6612) = 22×31×131×191×291×1271
LCM(6604,6612) = 10916412

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604

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 6604 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 6604 and 6612, than apply into the LCM equation.

GCF(6604,6612) = 4
LCM(6604,6612) = ( 6604 × 6612) / 4
LCM(6604,6612) = 43665648 / 4
LCM(6604,6612) = 10916412

Properties of LCM 6604 and 6612

(i) The LCM of 6612 and 6604 is associative

LCM of 6604 and 6612 = LCM of 6612 and 6604

Related Least Common Multiples of 6604

Related Least Common Multiples of 6612

Frequently Asked Questions on LCM of 6604 and 6612

1. What is the LCM of 6604 and 6612?

Answer: LCM of 6604 and 6612 is 10916412.

2. What are the Factors of 6604?

Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.

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 6604 and 6612?

Answer:

Least Common Multiple of 6604 and 6612 = 10916412

Step 1: Find the prime factorization of 6604

6604 = 2 x 2 x 13 x 127

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 = 10916412 = 2 x 2 x 3 x 13 x 19 x 29 x 127

Step 4: Therefore, the least common multiple of 6604 and 6612 is 10916412.