Least Common Multiple of 8629 and 8634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8629 and 8634 the smallest integer that is 74502786 that is divisible by both numbers.

Least Common Multiple (LCM) of 8629 and 8634 is 74502786.

LCM(8629,8634) = 74502786

LCM of 8629 and 8634

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

LCM of:
and

Least Common Multiple of 8629 and 8634

LCM of 8629 and 8634 is 74502786

Least common multiple can be found by multiplying the highest exponent prime factors of 8629 and 8634. First we will calculate the prime factors of 8629 and 8634.

Prime Factorization of 8629


8629 8629
1

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 86291

Prime Factorization of 8634


2 8634
3 4317
1439 1439
1

Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:

8634 = 21×31×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 8629 and 8634.

LCM(8629,8634) = 21×31×14391×86291
LCM(8629,8634) = 74502786

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1, 8629

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1, 2, 3, 6, 1439, 2878, 4317, 8634

Least Common Multiple of 8629 and 8634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8629 and 8634, than apply into the LCM equation.

GCF(8629,8634) = 1
LCM(8629,8634) = ( 8629 × 8634) / 1
LCM(8629,8634) = 74502786 / 1
LCM(8629,8634) = 74502786

Properties of LCM 8629 and 8634

(i) The LCM of 8634 and 8629 is associative

LCM of 8629 and 8634 = LCM of 8634 and 8629

Related Least Common Multiples of 8629

Related Least Common Multiples of 8634

Frequently Asked Questions on LCM of 8629 and 8634

1. What is the LCM of 8629 and 8634?

Answer: LCM of 8629 and 8634 is 74502786.

2. What are the Factors of 8629?

Answer: Factors of 8629 are 1, 8629. There are 2 integers that are factors of 8629. The greatest factor of 8629 is 8629.

3. What are the Factors of 8634?

Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.

4. How to Find the LCM of 8629 and 8634?

Answer:

Least Common Multiple of 8629 and 8634 = 74502786

Step 1: Find the prime factorization of 8629

8629 = 8629

Step 2: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

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

LCM = 74502786 = 2 x 3 x 1439 x 8629

Step 4: Therefore, the least common multiple of 8629 and 8634 is 74502786.