Least Common Multiple of 8670 and 8672

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 8672 the smallest integer that is 37593120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8670 and 8672 is 37593120.

LCM(8670,8672) = 37593120

LCM of 8670 and 8672

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

LCM of:
and

Least Common Multiple of 8670 and 8672

LCM of 8670 and 8672 is 37593120

Least common multiple can be found by multiplying the highest exponent prime factors of 8670 and 8672. First we will calculate the prime factors of 8670 and 8672.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8670 and 8672.

LCM(8670,8672) = 25×31×51×172×2711
LCM(8670,8672) = 37593120

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 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

Least Common Multiple of 8670 and 8672 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 8672, than apply into the LCM equation.

GCF(8670,8672) = 2
LCM(8670,8672) = ( 8670 × 8672) / 2
LCM(8670,8672) = 75186240 / 2
LCM(8670,8672) = 37593120

Properties of LCM 8670 and 8672

(i) The LCM of 8672 and 8670 is associative

LCM of 8670 and 8672 = LCM of 8672 and 8670

Related Least Common Multiples of 8670

Related Least Common Multiples of 8672

Frequently Asked Questions on LCM of 8670 and 8672

1. What is the LCM of 8670 and 8672?

Answer: LCM of 8670 and 8672 is 37593120.

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 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.

4. How to Find the LCM of 8670 and 8672?

Answer:

Least Common Multiple of 8670 and 8672 = 37593120

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 8672

8672 = 2 x 2 x 2 x 2 x 2 x 271

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

LCM = 37593120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 17 x 271

Step 4: Therefore, the least common multiple of 8670 and 8672 is 37593120.