Least Common Multiple of 8672 and 8680

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 8680 the smallest integer that is 9409120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8672 and 8680 is 9409120.

LCM(8672,8680) = 9409120

LCM of 8672 and 8680

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

LCM of:
and

Least Common Multiple of 8672 and 8680

LCM of 8672 and 8680 is 9409120

Least common multiple can be found by multiplying the highest exponent prime factors of 8672 and 8680. First we will calculate the prime factors of 8672 and 8680.

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 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2, 5, 7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8672 and 8680.

LCM(8672,8680) = 25×51×71×311×2711
LCM(8672,8680) = 9409120

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 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680

Least Common Multiple of 8672 and 8680 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 8680, than apply into the LCM equation.

GCF(8672,8680) = 8
LCM(8672,8680) = ( 8672 × 8680) / 8
LCM(8672,8680) = 75272960 / 8
LCM(8672,8680) = 9409120

Properties of LCM 8672 and 8680

(i) The LCM of 8680 and 8672 is associative

LCM of 8672 and 8680 = LCM of 8680 and 8672

Related Least Common Multiples of 8672

Related Least Common Multiples of 8680

Frequently Asked Questions on LCM of 8672 and 8680

1. What is the LCM of 8672 and 8680?

Answer: LCM of 8672 and 8680 is 9409120.

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 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

4. How to Find the LCM of 8672 and 8680?

Answer:

Least Common Multiple of 8672 and 8680 = 9409120

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 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

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

LCM = 9409120 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 31 x 271

Step 4: Therefore, the least common multiple of 8672 and 8680 is 9409120.