Least Common Multiple of 6626 and 6632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6626 and 6632 the smallest integer that is 21971816 that is divisible by both numbers.

Least Common Multiple (LCM) of 6626 and 6632 is 21971816.

LCM(6626,6632) = 21971816

LCM of 6626 and 6632

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

LCM of:
and

Least Common Multiple of 6626 and 6632

LCM of 6626 and 6632 is 21971816

Least common multiple can be found by multiplying the highest exponent prime factors of 6626 and 6632. First we will calculate the prime factors of 6626 and 6632.

Prime Factorization of 6626


2 6626
3313 3313
1

Prime factors of 6626 are 2,3313. Prime factorization of 6626 in exponential form is:

6626 = 21×33131

Prime Factorization of 6632


2 6632
2 3316
2 1658
829 829
1

Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:

6632 = 23×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 6626 and 6632.

LCM(6626,6632) = 23×8291×33131
LCM(6626,6632) = 21971816

Factors of 6626

List of positive integer factors of 6626 that divides 6626 without a remainder.

1, 2, 3313, 6626

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1, 2, 4, 8, 829, 1658, 3316, 6632

Least Common Multiple of 6626 and 6632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6626 and 6632, than apply into the LCM equation.

GCF(6626,6632) = 2
LCM(6626,6632) = ( 6626 × 6632) / 2
LCM(6626,6632) = 43943632 / 2
LCM(6626,6632) = 21971816

Properties of LCM 6626 and 6632

(i) The LCM of 6632 and 6626 is associative

LCM of 6626 and 6632 = LCM of 6632 and 6626

Related Least Common Multiples of 6626

Related Least Common Multiples of 6632

Frequently Asked Questions on LCM of 6626 and 6632

1. What is the LCM of 6626 and 6632?

Answer: LCM of 6626 and 6632 is 21971816.

2. What are the Factors of 6626?

Answer: Factors of 6626 are 1, 2, 3313, 6626. There are 4 integers that are factors of 6626. The greatest factor of 6626 is 6626.

3. What are the Factors of 6632?

Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.

4. How to Find the LCM of 6626 and 6632?

Answer:

Least Common Multiple of 6626 and 6632 = 21971816

Step 1: Find the prime factorization of 6626

6626 = 2 x 3313

Step 2: Find the prime factorization of 6632

6632 = 2 x 2 x 2 x 829

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

LCM = 21971816 = 2 x 2 x 2 x 829 x 3313

Step 4: Therefore, the least common multiple of 6626 and 6632 is 21971816.