Least Common Multiple of 8688 and 8695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8688 and 8695 the smallest integer that is 75542160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8688 and 8695 is 75542160.

LCM(8688,8695) = 75542160

LCM of 8688 and 8695

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

LCM of:
and

Least Common Multiple of 8688 and 8695

LCM of 8688 and 8695 is 75542160

Least common multiple can be found by multiplying the highest exponent prime factors of 8688 and 8695. First we will calculate the prime factors of 8688 and 8695.

Prime Factorization of 8688


2 8688
2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 8688 are 2, 3,181. Prime factorization of 8688 in exponential form is:

8688 = 24×31×1811

Prime Factorization of 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5, 37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8688 and 8695.

LCM(8688,8695) = 24×31×51×371×471×1811
LCM(8688,8695) = 75542160

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1, 5, 37, 47, 185, 235, 1739, 8695

Least Common Multiple of 8688 and 8695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8688 and 8695, than apply into the LCM equation.

GCF(8688,8695) = 1
LCM(8688,8695) = ( 8688 × 8695) / 1
LCM(8688,8695) = 75542160 / 1
LCM(8688,8695) = 75542160

Properties of LCM 8688 and 8695

(i) The LCM of 8695 and 8688 is associative

LCM of 8688 and 8695 = LCM of 8695 and 8688

Related Least Common Multiples of 8688

Related Least Common Multiples of 8695

Frequently Asked Questions on LCM of 8688 and 8695

1. What is the LCM of 8688 and 8695?

Answer: LCM of 8688 and 8695 is 75542160.

2. What are the Factors of 8688?

Answer: Factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688. There are 20 integers that are factors of 8688. The greatest factor of 8688 is 8688.

3. What are the Factors of 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

4. How to Find the LCM of 8688 and 8695?

Answer:

Least Common Multiple of 8688 and 8695 = 75542160

Step 1: Find the prime factorization of 8688

8688 = 2 x 2 x 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 8695

8695 = 5 x 37 x 47

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

LCM = 75542160 = 2 x 2 x 2 x 2 x 3 x 5 x 37 x 47 x 181

Step 4: Therefore, the least common multiple of 8688 and 8695 is 75542160.