Least Common Multiple of 8675 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 8675 and 8680 the smallest integer that is 15059800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8675 and 8680 is 15059800.

LCM(8675,8680) = 15059800

LCM of 8675 and 8680

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

LCM of:
and

Least Common Multiple of 8675 and 8680

LCM of 8675 and 8680 is 15059800

Least common multiple can be found by multiplying the highest exponent prime factors of 8675 and 8680. First we will calculate the prime factors of 8675 and 8680.

Prime Factorization of 8675


5 8675
5 1735
347 347
1

Prime factors of 8675 are 5,347. Prime factorization of 8675 in exponential form is:

8675 = 52×3471

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 8675 and 8680.

LCM(8675,8680) = 23×52×71×311×3471
LCM(8675,8680) = 15059800

Factors of 8675

List of positive integer factors of 8675 that divides 8675 without a remainder.

1, 5, 25, 347, 1735, 8675

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 8675 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 8675 and 8680, than apply into the LCM equation.

GCF(8675,8680) = 5
LCM(8675,8680) = ( 8675 × 8680) / 5
LCM(8675,8680) = 75299000 / 5
LCM(8675,8680) = 15059800

Properties of LCM 8675 and 8680

(i) The LCM of 8680 and 8675 is associative

LCM of 8675 and 8680 = LCM of 8680 and 8675

Related Least Common Multiples of 8675

Related Least Common Multiples of 8680

Frequently Asked Questions on LCM of 8675 and 8680

1. What is the LCM of 8675 and 8680?

Answer: LCM of 8675 and 8680 is 15059800.

2. What are the Factors of 8675?

Answer: Factors of 8675 are 1, 5, 25, 347, 1735, 8675. There are 6 integers that are factors of 8675. The greatest factor of 8675 is 8675.

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 8675 and 8680?

Answer:

Least Common Multiple of 8675 and 8680 = 15059800

Step 1: Find the prime factorization of 8675

8675 = 5 x 5 x 347

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 = 15059800 = 2 x 2 x 2 x 5 x 5 x 7 x 31 x 347

Step 4: Therefore, the least common multiple of 8675 and 8680 is 15059800.