Least Common Multiple of 8672 and 8677

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 8677 the smallest integer that is 75246944 that is divisible by both numbers.

Least Common Multiple (LCM) of 8672 and 8677 is 75246944.

LCM(8672,8677) = 75246944

LCM of 8672 and 8677

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

LCM of:
and

Least Common Multiple of 8672 and 8677

LCM of 8672 and 8677 is 75246944

Least common multiple can be found by multiplying the highest exponent prime factors of 8672 and 8677. First we will calculate the prime factors of 8672 and 8677.

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 8677


8677 8677
1

Prime factors of 8677 are 8677. Prime factorization of 8677 in exponential form is:

8677 = 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 8672 and 8677.

LCM(8672,8677) = 25×2711×86771
LCM(8672,8677) = 75246944

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 8677

List of positive integer factors of 8677 that divides 8677 without a remainder.

1, 8677

Least Common Multiple of 8672 and 8677 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 8677, than apply into the LCM equation.

GCF(8672,8677) = 1
LCM(8672,8677) = ( 8672 × 8677) / 1
LCM(8672,8677) = 75246944 / 1
LCM(8672,8677) = 75246944

Properties of LCM 8672 and 8677

(i) The LCM of 8677 and 8672 is associative

LCM of 8672 and 8677 = LCM of 8677 and 8672

Related Least Common Multiples of 8672

Related Least Common Multiples of 8677

Frequently Asked Questions on LCM of 8672 and 8677

1. What is the LCM of 8672 and 8677?

Answer: LCM of 8672 and 8677 is 75246944.

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 8677?

Answer: Factors of 8677 are 1, 8677. There are 2 integers that are factors of 8677. The greatest factor of 8677 is 8677.

4. How to Find the LCM of 8672 and 8677?

Answer:

Least Common Multiple of 8672 and 8677 = 75246944

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 8677

8677 = 8677

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

LCM = 75246944 = 2 x 2 x 2 x 2 x 2 x 271 x 8677

Step 4: Therefore, the least common multiple of 8672 and 8677 is 75246944.