Least Common Multiple of 8678 and 8685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8678 and 8685 the smallest integer that is 75368430 that is divisible by both numbers.

Least Common Multiple (LCM) of 8678 and 8685 is 75368430.

LCM(8678,8685) = 75368430

LCM of 8678 and 8685

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

LCM of:
and

Least Common Multiple of 8678 and 8685

LCM of 8678 and 8685 is 75368430

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8685. First we will calculate the prime factors of 8678 and 8685.

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

Prime Factorization of 8685


3 8685
3 2895
5 965
193 193
1

Prime factors of 8685 are 3, 5,193. Prime factorization of 8685 in exponential form is:

8685 = 32×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8685.

LCM(8678,8685) = 21×32×51×1931×43391
LCM(8678,8685) = 75368430

Factors of 8678

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

1, 2, 4339, 8678

Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685

Least Common Multiple of 8678 and 8685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8678 and 8685, than apply into the LCM equation.

GCF(8678,8685) = 1
LCM(8678,8685) = ( 8678 × 8685) / 1
LCM(8678,8685) = 75368430 / 1
LCM(8678,8685) = 75368430

Properties of LCM 8678 and 8685

(i) The LCM of 8685 and 8678 is associative

LCM of 8678 and 8685 = LCM of 8685 and 8678

Related Least Common Multiples of 8678

Related Least Common Multiples of 8685

Frequently Asked Questions on LCM of 8678 and 8685

1. What is the LCM of 8678 and 8685?

Answer: LCM of 8678 and 8685 is 75368430.

2. 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.

3. What are the Factors of 8685?

Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.

4. How to Find the LCM of 8678 and 8685?

Answer:

Least Common Multiple of 8678 and 8685 = 75368430

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8685

8685 = 3 x 3 x 5 x 193

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

LCM = 75368430 = 2 x 3 x 3 x 5 x 193 x 4339

Step 4: Therefore, the least common multiple of 8678 and 8685 is 75368430.