Least Common Multiple of 8672 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 8672 and 8678 the smallest integer that is 37627808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8672 and 8678 is 37627808.

LCM(8672,8678) = 37627808

LCM of 8672 and 8678

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

LCM of:
and

Least Common Multiple of 8672 and 8678

LCM of 8672 and 8678 is 37627808

Least common multiple can be found by multiplying the highest exponent prime factors of 8672 and 8678. First we will calculate the prime factors of 8672 and 8678.

Prime Factorization of 8672


2 8672
2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 8672 are 2,271. Prime factorization of 8672 in exponential form is:

8672 = 25×2711

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 8672 and 8678.

LCM(8672,8678) = 25×2711×43391
LCM(8672,8678) = 37627808

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672

Factors of 8678

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

1, 2, 4339, 8678

Least Common Multiple of 8672 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 8672 and 8678, than apply into the LCM equation.

GCF(8672,8678) = 2
LCM(8672,8678) = ( 8672 × 8678) / 2
LCM(8672,8678) = 75255616 / 2
LCM(8672,8678) = 37627808

Properties of LCM 8672 and 8678

(i) The LCM of 8678 and 8672 is associative

LCM of 8672 and 8678 = LCM of 8678 and 8672

Related Least Common Multiples of 8672

Related Least Common Multiples of 8678

Frequently Asked Questions on LCM of 8672 and 8678

1. What is the LCM of 8672 and 8678?

Answer: LCM of 8672 and 8678 is 37627808.

2. What are the Factors of 8672?

Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.

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 8672 and 8678?

Answer:

Least Common Multiple of 8672 and 8678 = 37627808

Step 1: Find the prime factorization of 8672

8672 = 2 x 2 x 2 x 2 x 2 x 271

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 = 37627808 = 2 x 2 x 2 x 2 x 2 x 271 x 4339

Step 4: Therefore, the least common multiple of 8672 and 8678 is 37627808.