Least Common Multiple of 6612 and 6616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6612 and 6616 the smallest integer that is 10936248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6612 and 6616 is 10936248.

LCM(6612,6616) = 10936248

LCM of 6612 and 6616

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

LCM of:
and

Least Common Multiple of 6612 and 6616

LCM of 6612 and 6616 is 10936248

Least common multiple can be found by multiplying the highest exponent prime factors of 6612 and 6616. First we will calculate the prime factors of 6612 and 6616.

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

Prime Factorization of 6616


2 6616
2 3308
2 1654
827 827
1

Prime factors of 6616 are 2,827. Prime factorization of 6616 in exponential form is:

6616 = 23×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 6612 and 6616.

LCM(6612,6616) = 23×31×191×291×8271
LCM(6612,6616) = 10936248

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

Factors of 6616

List of positive integer factors of 6616 that divides 6616 without a remainder.

1, 2, 4, 8, 827, 1654, 3308, 6616

Least Common Multiple of 6612 and 6616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6612 and 6616, than apply into the LCM equation.

GCF(6612,6616) = 4
LCM(6612,6616) = ( 6612 × 6616) / 4
LCM(6612,6616) = 43744992 / 4
LCM(6612,6616) = 10936248

Properties of LCM 6612 and 6616

(i) The LCM of 6616 and 6612 is associative

LCM of 6612 and 6616 = LCM of 6616 and 6612

Related Least Common Multiples of 6612

Related Least Common Multiples of 6616

Frequently Asked Questions on LCM of 6612 and 6616

1. What is the LCM of 6612 and 6616?

Answer: LCM of 6612 and 6616 is 10936248.

2. 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.

3. What are the Factors of 6616?

Answer: Factors of 6616 are 1, 2, 4, 8, 827, 1654, 3308, 6616. There are 8 integers that are factors of 6616. The greatest factor of 6616 is 6616.

4. How to Find the LCM of 6612 and 6616?

Answer:

Least Common Multiple of 6612 and 6616 = 10936248

Step 1: Find the prime factorization of 6612

6612 = 2 x 2 x 3 x 19 x 29

Step 2: Find the prime factorization of 6616

6616 = 2 x 2 x 2 x 827

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

LCM = 10936248 = 2 x 2 x 2 x 3 x 19 x 29 x 827

Step 4: Therefore, the least common multiple of 6612 and 6616 is 10936248.