Least Common Multiple of 8634 and 8638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8634 and 8638 the smallest integer that is 37290246 that is divisible by both numbers.

Least Common Multiple (LCM) of 8634 and 8638 is 37290246.

LCM(8634,8638) = 37290246

LCM of 8634 and 8638

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

LCM of:
and

Least Common Multiple of 8634 and 8638

LCM of 8634 and 8638 is 37290246

Least common multiple can be found by multiplying the highest exponent prime factors of 8634 and 8638. First we will calculate the prime factors of 8634 and 8638.

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

Prime Factorization of 8638


2 8638
7 4319
617 617
1

Prime factors of 8638 are 2, 7,617. Prime factorization of 8638 in exponential form is:

8638 = 21×71×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 8634 and 8638.

LCM(8634,8638) = 21×31×71×6171×14391
LCM(8634,8638) = 37290246

Factors of 8634

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

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

Factors of 8638

List of positive integer factors of 8638 that divides 8638 without a remainder.

1, 2, 7, 14, 617, 1234, 4319, 8638

Least Common Multiple of 8634 and 8638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8634 and 8638, than apply into the LCM equation.

GCF(8634,8638) = 2
LCM(8634,8638) = ( 8634 × 8638) / 2
LCM(8634,8638) = 74580492 / 2
LCM(8634,8638) = 37290246

Properties of LCM 8634 and 8638

(i) The LCM of 8638 and 8634 is associative

LCM of 8634 and 8638 = LCM of 8638 and 8634

Related Least Common Multiples of 8634

Related Least Common Multiples of 8638

Frequently Asked Questions on LCM of 8634 and 8638

1. What is the LCM of 8634 and 8638?

Answer: LCM of 8634 and 8638 is 37290246.

2. 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.

3. What are the Factors of 8638?

Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.

4. How to Find the LCM of 8634 and 8638?

Answer:

Least Common Multiple of 8634 and 8638 = 37290246

Step 1: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

Step 2: Find the prime factorization of 8638

8638 = 2 x 7 x 617

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

LCM = 37290246 = 2 x 3 x 7 x 617 x 1439

Step 4: Therefore, the least common multiple of 8634 and 8638 is 37290246.