Least Common Multiple of 8630 and 8636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8630 and 8636 the smallest integer that is 37264340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8630 and 8636 is 37264340.

LCM(8630,8636) = 37264340

LCM of 8630 and 8636

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

LCM of:
and

Least Common Multiple of 8630 and 8636

LCM of 8630 and 8636 is 37264340

Least common multiple can be found by multiplying the highest exponent prime factors of 8630 and 8636. First we will calculate the prime factors of 8630 and 8636.

Prime Factorization of 8630


2 8630
5 4315
863 863
1

Prime factors of 8630 are 2, 5,863. Prime factorization of 8630 in exponential form is:

8630 = 21×51×8631

Prime Factorization of 8636


2 8636
2 4318
17 2159
127 127
1

Prime factors of 8636 are 2, 17,127. Prime factorization of 8636 in exponential form is:

8636 = 22×171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8630 and 8636.

LCM(8630,8636) = 22×51×171×1271×8631
LCM(8630,8636) = 37264340

Factors of 8630

List of positive integer factors of 8630 that divides 8630 without a remainder.

1, 2, 5, 10, 863, 1726, 4315, 8630

Factors of 8636

List of positive integer factors of 8636 that divides 8636 without a remainder.

1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636

Least Common Multiple of 8630 and 8636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8630 and 8636, than apply into the LCM equation.

GCF(8630,8636) = 2
LCM(8630,8636) = ( 8630 × 8636) / 2
LCM(8630,8636) = 74528680 / 2
LCM(8630,8636) = 37264340

Properties of LCM 8630 and 8636

(i) The LCM of 8636 and 8630 is associative

LCM of 8630 and 8636 = LCM of 8636 and 8630

Related Least Common Multiples of 8630

Related Least Common Multiples of 8636

Frequently Asked Questions on LCM of 8630 and 8636

1. What is the LCM of 8630 and 8636?

Answer: LCM of 8630 and 8636 is 37264340.

2. What are the Factors of 8630?

Answer: Factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630. There are 8 integers that are factors of 8630. The greatest factor of 8630 is 8630.

3. What are the Factors of 8636?

Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.

4. How to Find the LCM of 8630 and 8636?

Answer:

Least Common Multiple of 8630 and 8636 = 37264340

Step 1: Find the prime factorization of 8630

8630 = 2 x 5 x 863

Step 2: Find the prime factorization of 8636

8636 = 2 x 2 x 17 x 127

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

LCM = 37264340 = 2 x 2 x 5 x 17 x 127 x 863

Step 4: Therefore, the least common multiple of 8630 and 8636 is 37264340.