Least Common Multiple of 8673 and 8678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8673 and 8678 the smallest integer that is 75264294 that is divisible by both numbers.

Least Common Multiple (LCM) of 8673 and 8678 is 75264294.

LCM(8673,8678) = 75264294

LCM of 8673 and 8678

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

LCM of:
and

Least Common Multiple of 8673 and 8678

LCM of 8673 and 8678 is 75264294

Least common multiple can be found by multiplying the highest exponent prime factors of 8673 and 8678. First we will calculate the prime factors of 8673 and 8678.

Prime Factorization of 8673


3 8673
7 2891
7 413
59 59
1

Prime factors of 8673 are 3, 7,59. Prime factorization of 8673 in exponential form is:

8673 = 31×72×591

Prime Factorization of 8678


2 8678
4339 4339
1

Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:

8678 = 21×43391

Now multiplying the highest exponent prime factors to calculate the LCM of 8673 and 8678.

LCM(8673,8678) = 21×31×72×591×43391
LCM(8673,8678) = 75264294

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673

Factors of 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1, 2, 4339, 8678

Least Common Multiple of 8673 and 8678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8673 and 8678, than apply into the LCM equation.

GCF(8673,8678) = 1
LCM(8673,8678) = ( 8673 × 8678) / 1
LCM(8673,8678) = 75264294 / 1
LCM(8673,8678) = 75264294

Properties of LCM 8673 and 8678

(i) The LCM of 8678 and 8673 is associative

LCM of 8673 and 8678 = LCM of 8678 and 8673

Related Least Common Multiples of 8673

Related Least Common Multiples of 8678

Frequently Asked Questions on LCM of 8673 and 8678

1. What is the LCM of 8673 and 8678?

Answer: LCM of 8673 and 8678 is 75264294.

2. What are the Factors of 8673?

Answer: Factors of 8673 are 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673. There are 12 integers that are factors of 8673. The greatest factor of 8673 is 8673.

3. What are the Factors of 8678?

Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.

4. How to Find the LCM of 8673 and 8678?

Answer:

Least Common Multiple of 8673 and 8678 = 75264294

Step 1: Find the prime factorization of 8673

8673 = 3 x 7 x 7 x 59

Step 2: Find the prime factorization of 8678

8678 = 2 x 4339

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

LCM = 75264294 = 2 x 3 x 7 x 7 x 59 x 4339

Step 4: Therefore, the least common multiple of 8673 and 8678 is 75264294.