Least Common Multiple of 6646 and 6652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6646 and 6652 the smallest integer that is 22104596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6646 and 6652 is 22104596.

LCM(6646,6652) = 22104596

LCM of 6646 and 6652

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

LCM of:
and

Least Common Multiple of 6646 and 6652

LCM of 6646 and 6652 is 22104596

Least common multiple can be found by multiplying the highest exponent prime factors of 6646 and 6652. First we will calculate the prime factors of 6646 and 6652.

Prime Factorization of 6646


2 6646
3323 3323
1

Prime factors of 6646 are 2,3323. Prime factorization of 6646 in exponential form is:

6646 = 21×33231

Prime Factorization of 6652


2 6652
2 3326
1663 1663
1

Prime factors of 6652 are 2,1663. Prime factorization of 6652 in exponential form is:

6652 = 22×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 6646 and 6652.

LCM(6646,6652) = 22×16631×33231
LCM(6646,6652) = 22104596

Factors of 6646

List of positive integer factors of 6646 that divides 6646 without a remainder.

1, 2, 3323, 6646

Factors of 6652

List of positive integer factors of 6652 that divides 6652 without a remainder.

1, 2, 4, 1663, 3326, 6652

Least Common Multiple of 6646 and 6652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6646 and 6652, than apply into the LCM equation.

GCF(6646,6652) = 2
LCM(6646,6652) = ( 6646 × 6652) / 2
LCM(6646,6652) = 44209192 / 2
LCM(6646,6652) = 22104596

Properties of LCM 6646 and 6652

(i) The LCM of 6652 and 6646 is associative

LCM of 6646 and 6652 = LCM of 6652 and 6646

Related Least Common Multiples of 6646

Related Least Common Multiples of 6652

Frequently Asked Questions on LCM of 6646 and 6652

1. What is the LCM of 6646 and 6652?

Answer: LCM of 6646 and 6652 is 22104596.

2. What are the Factors of 6646?

Answer: Factors of 6646 are 1, 2, 3323, 6646. There are 4 integers that are factors of 6646. The greatest factor of 6646 is 6646.

3. What are the Factors of 6652?

Answer: Factors of 6652 are 1, 2, 4, 1663, 3326, 6652. There are 6 integers that are factors of 6652. The greatest factor of 6652 is 6652.

4. How to Find the LCM of 6646 and 6652?

Answer:

Least Common Multiple of 6646 and 6652 = 22104596

Step 1: Find the prime factorization of 6646

6646 = 2 x 3323

Step 2: Find the prime factorization of 6652

6652 = 2 x 2 x 1663

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

LCM = 22104596 = 2 x 2 x 1663 x 3323

Step 4: Therefore, the least common multiple of 6646 and 6652 is 22104596.