Least Common Multiple of 8669 and 8676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8669 and 8676 the smallest integer that is 75212244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8669 and 8676 is 75212244.

LCM(8669,8676) = 75212244

LCM of 8669 and 8676

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

LCM of:
and

Least Common Multiple of 8669 and 8676

LCM of 8669 and 8676 is 75212244

Least common multiple can be found by multiplying the highest exponent prime factors of 8669 and 8676. First we will calculate the prime factors of 8669 and 8676.

Prime Factorization of 8669


8669 8669
1

Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:

8669 = 86691

Prime Factorization of 8676


2 8676
2 4338
3 2169
3 723
241 241
1

Prime factors of 8676 are 2, 3,241. Prime factorization of 8676 in exponential form is:

8676 = 22×32×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8669 and 8676.

LCM(8669,8676) = 22×32×2411×86691
LCM(8669,8676) = 75212244

Factors of 8669

List of positive integer factors of 8669 that divides 8669 without a remainder.

1, 8669

Factors of 8676

List of positive integer factors of 8676 that divides 8676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676

Least Common Multiple of 8669 and 8676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8669 and 8676, than apply into the LCM equation.

GCF(8669,8676) = 1
LCM(8669,8676) = ( 8669 × 8676) / 1
LCM(8669,8676) = 75212244 / 1
LCM(8669,8676) = 75212244

Properties of LCM 8669 and 8676

(i) The LCM of 8676 and 8669 is associative

LCM of 8669 and 8676 = LCM of 8676 and 8669

Related Least Common Multiples of 8669

Related Least Common Multiples of 8676

Frequently Asked Questions on LCM of 8669 and 8676

1. What is the LCM of 8669 and 8676?

Answer: LCM of 8669 and 8676 is 75212244.

2. What are the Factors of 8669?

Answer: Factors of 8669 are 1, 8669. There are 2 integers that are factors of 8669. The greatest factor of 8669 is 8669.

3. What are the Factors of 8676?

Answer: Factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676. There are 18 integers that are factors of 8676. The greatest factor of 8676 is 8676.

4. How to Find the LCM of 8669 and 8676?

Answer:

Least Common Multiple of 8669 and 8676 = 75212244

Step 1: Find the prime factorization of 8669

8669 = 8669

Step 2: Find the prime factorization of 8676

8676 = 2 x 2 x 3 x 3 x 241

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

LCM = 75212244 = 2 x 2 x 3 x 3 x 241 x 8669

Step 4: Therefore, the least common multiple of 8669 and 8676 is 75212244.