Least Common Multiple of 8674 and 8679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8674 and 8679 the smallest integer that is 75281646 that is divisible by both numbers.

Least Common Multiple (LCM) of 8674 and 8679 is 75281646.

LCM(8674,8679) = 75281646

LCM of 8674 and 8679

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

LCM of:
and

Least Common Multiple of 8674 and 8679

LCM of 8674 and 8679 is 75281646

Least common multiple can be found by multiplying the highest exponent prime factors of 8674 and 8679. First we will calculate the prime factors of 8674 and 8679.

Prime Factorization of 8674


2 8674
4337 4337
1

Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:

8674 = 21×43371

Prime Factorization of 8679


3 8679
11 2893
263 263
1

Prime factors of 8679 are 3, 11,263. Prime factorization of 8679 in exponential form is:

8679 = 31×111×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8674 and 8679.

LCM(8674,8679) = 21×31×111×2631×43371
LCM(8674,8679) = 75281646

Factors of 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1, 2, 4337, 8674

Factors of 8679

List of positive integer factors of 8679 that divides 8679 without a remainder.

1, 3, 11, 33, 263, 789, 2893, 8679

Least Common Multiple of 8674 and 8679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8674 and 8679, than apply into the LCM equation.

GCF(8674,8679) = 1
LCM(8674,8679) = ( 8674 × 8679) / 1
LCM(8674,8679) = 75281646 / 1
LCM(8674,8679) = 75281646

Properties of LCM 8674 and 8679

(i) The LCM of 8679 and 8674 is associative

LCM of 8674 and 8679 = LCM of 8679 and 8674

Related Least Common Multiples of 8674

Related Least Common Multiples of 8679

Frequently Asked Questions on LCM of 8674 and 8679

1. What is the LCM of 8674 and 8679?

Answer: LCM of 8674 and 8679 is 75281646.

2. What are the Factors of 8674?

Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.

3. What are the Factors of 8679?

Answer: Factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679. There are 8 integers that are factors of 8679. The greatest factor of 8679 is 8679.

4. How to Find the LCM of 8674 and 8679?

Answer:

Least Common Multiple of 8674 and 8679 = 75281646

Step 1: Find the prime factorization of 8674

8674 = 2 x 4337

Step 2: Find the prime factorization of 8679

8679 = 3 x 11 x 263

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

LCM = 75281646 = 2 x 3 x 11 x 263 x 4337

Step 4: Therefore, the least common multiple of 8674 and 8679 is 75281646.