Least Common Multiple of 8681 and 8688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8681 and 8688 the smallest integer that is 75420528 that is divisible by both numbers.

Least Common Multiple (LCM) of 8681 and 8688 is 75420528.

LCM(8681,8688) = 75420528

LCM of 8681 and 8688

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

LCM of:
and

Least Common Multiple of 8681 and 8688

LCM of 8681 and 8688 is 75420528

Least common multiple can be found by multiplying the highest exponent prime factors of 8681 and 8688. First we will calculate the prime factors of 8681 and 8688.

Prime Factorization of 8681


8681 8681
1

Prime factors of 8681 are 8681. Prime factorization of 8681 in exponential form is:

8681 = 86811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8681 and 8688.

LCM(8681,8688) = 24×31×1811×86811
LCM(8681,8688) = 75420528

Factors of 8681

List of positive integer factors of 8681 that divides 8681 without a remainder.

1, 8681

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

Least Common Multiple of 8681 and 8688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8681 and 8688, than apply into the LCM equation.

GCF(8681,8688) = 1
LCM(8681,8688) = ( 8681 × 8688) / 1
LCM(8681,8688) = 75420528 / 1
LCM(8681,8688) = 75420528

Properties of LCM 8681 and 8688

(i) The LCM of 8688 and 8681 is associative

LCM of 8681 and 8688 = LCM of 8688 and 8681

Related Least Common Multiples of 8681

Related Least Common Multiples of 8688

Frequently Asked Questions on LCM of 8681 and 8688

1. What is the LCM of 8681 and 8688?

Answer: LCM of 8681 and 8688 is 75420528.

2. What are the Factors of 8681?

Answer: Factors of 8681 are 1, 8681. There are 2 integers that are factors of 8681. The greatest factor of 8681 is 8681.

3. 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.

4. How to Find the LCM of 8681 and 8688?

Answer:

Least Common Multiple of 8681 and 8688 = 75420528

Step 1: Find the prime factorization of 8681

8681 = 8681

Step 2: Find the prime factorization of 8688

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

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

LCM = 75420528 = 2 x 2 x 2 x 2 x 3 x 181 x 8681

Step 4: Therefore, the least common multiple of 8681 and 8688 is 75420528.