Least Common Multiple of 6634 and 6636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6634 and 6636 the smallest integer that is 22011612 that is divisible by both numbers.

Least Common Multiple (LCM) of 6634 and 6636 is 22011612.

LCM(6634,6636) = 22011612

LCM of 6634 and 6636

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

LCM of:
and

Least Common Multiple of 6634 and 6636

LCM of 6634 and 6636 is 22011612

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6636. First we will calculate the prime factors of 6634 and 6636.

Prime Factorization of 6634


2 6634
31 3317
107 107
1

Prime factors of 6634 are 2, 31,107. Prime factorization of 6634 in exponential form is:

6634 = 21×311×1071

Prime Factorization of 6636


2 6636
2 3318
3 1659
7 553
79 79
1

Prime factors of 6636 are 2, 3, 7,79. Prime factorization of 6636 in exponential form is:

6636 = 22×31×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6636.

LCM(6634,6636) = 22×31×71×311×791×1071
LCM(6634,6636) = 22011612

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1, 2, 31, 62, 107, 214, 3317, 6634

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636

Least Common Multiple of 6634 and 6636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6634 and 6636, than apply into the LCM equation.

GCF(6634,6636) = 2
LCM(6634,6636) = ( 6634 × 6636) / 2
LCM(6634,6636) = 44023224 / 2
LCM(6634,6636) = 22011612

Properties of LCM 6634 and 6636

(i) The LCM of 6636 and 6634 is associative

LCM of 6634 and 6636 = LCM of 6636 and 6634

Related Least Common Multiples of 6634

Related Least Common Multiples of 6636

Frequently Asked Questions on LCM of 6634 and 6636

1. What is the LCM of 6634 and 6636?

Answer: LCM of 6634 and 6636 is 22011612.

2. What are the Factors of 6634?

Answer: Factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634. There are 8 integers that are factors of 6634. The greatest factor of 6634 is 6634.

3. What are the Factors of 6636?

Answer: Factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636. There are 24 integers that are factors of 6636. The greatest factor of 6636 is 6636.

4. How to Find the LCM of 6634 and 6636?

Answer:

Least Common Multiple of 6634 and 6636 = 22011612

Step 1: Find the prime factorization of 6634

6634 = 2 x 31 x 107

Step 2: Find the prime factorization of 6636

6636 = 2 x 2 x 3 x 7 x 79

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

LCM = 22011612 = 2 x 2 x 3 x 7 x 31 x 79 x 107

Step 4: Therefore, the least common multiple of 6634 and 6636 is 22011612.