Least Common Multiple of 8688 and 8692

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 8692 the smallest integer that is 18879024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8688 and 8692 is 18879024.

LCM(8688,8692) = 18879024

LCM of 8688 and 8692

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

LCM of:
and

Least Common Multiple of 8688 and 8692

LCM of 8688 and 8692 is 18879024

Least common multiple can be found by multiplying the highest exponent prime factors of 8688 and 8692. First we will calculate the prime factors of 8688 and 8692.

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 8692


2 8692
2 4346
41 2173
53 53
1

Prime factors of 8692 are 2, 41,53. Prime factorization of 8692 in exponential form is:

8692 = 22×411×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8688 and 8692.

LCM(8688,8692) = 24×31×411×531×1811
LCM(8688,8692) = 18879024

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 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692

Least Common Multiple of 8688 and 8692 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 8692, than apply into the LCM equation.

GCF(8688,8692) = 4
LCM(8688,8692) = ( 8688 × 8692) / 4
LCM(8688,8692) = 75516096 / 4
LCM(8688,8692) = 18879024

Properties of LCM 8688 and 8692

(i) The LCM of 8692 and 8688 is associative

LCM of 8688 and 8692 = LCM of 8692 and 8688

Related Least Common Multiples of 8688

Related Least Common Multiples of 8692

Frequently Asked Questions on LCM of 8688 and 8692

1. What is the LCM of 8688 and 8692?

Answer: LCM of 8688 and 8692 is 18879024.

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 8692?

Answer: Factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692. There are 12 integers that are factors of 8692. The greatest factor of 8692 is 8692.

4. How to Find the LCM of 8688 and 8692?

Answer:

Least Common Multiple of 8688 and 8692 = 18879024

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 8692

8692 = 2 x 2 x 41 x 53

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

LCM = 18879024 = 2 x 2 x 2 x 2 x 3 x 41 x 53 x 181

Step 4: Therefore, the least common multiple of 8688 and 8692 is 18879024.