Least Common Multiple of 6628 and 6634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6628 and 6634 the smallest integer that is 21985076 that is divisible by both numbers.

Least Common Multiple (LCM) of 6628 and 6634 is 21985076.

LCM(6628,6634) = 21985076

LCM of 6628 and 6634

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

LCM of:
and

Least Common Multiple of 6628 and 6634

LCM of 6628 and 6634 is 21985076

Least common multiple can be found by multiplying the highest exponent prime factors of 6628 and 6634. First we will calculate the prime factors of 6628 and 6634.

Prime Factorization of 6628


2 6628
2 3314
1657 1657
1

Prime factors of 6628 are 2,1657. Prime factorization of 6628 in exponential form is:

6628 = 22×16571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6628 and 6634.

LCM(6628,6634) = 22×311×1071×16571
LCM(6628,6634) = 21985076

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1, 2, 4, 1657, 3314, 6628

Factors of 6634

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

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

Least Common Multiple of 6628 and 6634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6628 and 6634, than apply into the LCM equation.

GCF(6628,6634) = 2
LCM(6628,6634) = ( 6628 × 6634) / 2
LCM(6628,6634) = 43970152 / 2
LCM(6628,6634) = 21985076

Properties of LCM 6628 and 6634

(i) The LCM of 6634 and 6628 is associative

LCM of 6628 and 6634 = LCM of 6634 and 6628

Related Least Common Multiples of 6628

Related Least Common Multiples of 6634

Frequently Asked Questions on LCM of 6628 and 6634

1. What is the LCM of 6628 and 6634?

Answer: LCM of 6628 and 6634 is 21985076.

2. What are the Factors of 6628?

Answer: Factors of 6628 are 1, 2, 4, 1657, 3314, 6628. There are 6 integers that are factors of 6628. The greatest factor of 6628 is 6628.

3. 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.

4. How to Find the LCM of 6628 and 6634?

Answer:

Least Common Multiple of 6628 and 6634 = 21985076

Step 1: Find the prime factorization of 6628

6628 = 2 x 2 x 1657

Step 2: Find the prime factorization of 6634

6634 = 2 x 31 x 107

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

LCM = 21985076 = 2 x 2 x 31 x 107 x 1657

Step 4: Therefore, the least common multiple of 6628 and 6634 is 21985076.