Least Common Multiple of 8672 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 8672 and 8676 the smallest integer that is 18809568 that is divisible by both numbers.

Least Common Multiple (LCM) of 8672 and 8676 is 18809568.

LCM(8672,8676) = 18809568

LCM of 8672 and 8676

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

LCM of:
and

Least Common Multiple of 8672 and 8676

LCM of 8672 and 8676 is 18809568

Least common multiple can be found by multiplying the highest exponent prime factors of 8672 and 8676. First we will calculate the prime factors of 8672 and 8676.

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 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 8672 and 8676.

LCM(8672,8676) = 25×32×2411×2711
LCM(8672,8676) = 18809568

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 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 8672 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 8672 and 8676, than apply into the LCM equation.

GCF(8672,8676) = 4
LCM(8672,8676) = ( 8672 × 8676) / 4
LCM(8672,8676) = 75238272 / 4
LCM(8672,8676) = 18809568

Properties of LCM 8672 and 8676

(i) The LCM of 8676 and 8672 is associative

LCM of 8672 and 8676 = LCM of 8676 and 8672

Related Least Common Multiples of 8672

Related Least Common Multiples of 8676

Frequently Asked Questions on LCM of 8672 and 8676

1. What is the LCM of 8672 and 8676?

Answer: LCM of 8672 and 8676 is 18809568.

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 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 8672 and 8676?

Answer:

Least Common Multiple of 8672 and 8676 = 18809568

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 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 = 18809568 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 241 x 271

Step 4: Therefore, the least common multiple of 8672 and 8676 is 18809568.