Least Common Multiple of 8670 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 8670 and 8676 the smallest integer that is 12536820 that is divisible by both numbers.

Least Common Multiple (LCM) of 8670 and 8676 is 12536820.

LCM(8670,8676) = 12536820

LCM of 8670 and 8676

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

LCM of:
and

Least Common Multiple of 8670 and 8676

LCM of 8670 and 8676 is 12536820

Least common multiple can be found by multiplying the highest exponent prime factors of 8670 and 8676. First we will calculate the prime factors of 8670 and 8676.

Prime Factorization of 8670


2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 8670 are 2, 3, 5,17. Prime factorization of 8670 in exponential form is:

8670 = 21×31×51×172

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 8670 and 8676.

LCM(8670,8676) = 22×32×51×172×2411
LCM(8670,8676) = 12536820

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670

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 8670 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 8670 and 8676, than apply into the LCM equation.

GCF(8670,8676) = 6
LCM(8670,8676) = ( 8670 × 8676) / 6
LCM(8670,8676) = 75220920 / 6
LCM(8670,8676) = 12536820

Properties of LCM 8670 and 8676

(i) The LCM of 8676 and 8670 is associative

LCM of 8670 and 8676 = LCM of 8676 and 8670

Related Least Common Multiples of 8670

Related Least Common Multiples of 8676

Frequently Asked Questions on LCM of 8670 and 8676

1. What is the LCM of 8670 and 8676?

Answer: LCM of 8670 and 8676 is 12536820.

2. What are the Factors of 8670?

Answer: Factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670. There are 24 integers that are factors of 8670. The greatest factor of 8670 is 8670.

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 8670 and 8676?

Answer:

Least Common Multiple of 8670 and 8676 = 12536820

Step 1: Find the prime factorization of 8670

8670 = 2 x 3 x 5 x 17 x 17

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 = 12536820 = 2 x 2 x 3 x 3 x 5 x 17 x 17 x 241

Step 4: Therefore, the least common multiple of 8670 and 8676 is 12536820.