Least Common Multiple of 7688 and 7692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7688 and 7692 the smallest integer that is 14784024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7688 and 7692 is 14784024.

LCM(7688,7692) = 14784024

LCM of 7688 and 7692

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

LCM of:
and

Least Common Multiple of 7688 and 7692

LCM of 7688 and 7692 is 14784024

Least common multiple can be found by multiplying the highest exponent prime factors of 7688 and 7692. First we will calculate the prime factors of 7688 and 7692.

Prime Factorization of 7688


2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 7688 are 2,31. Prime factorization of 7688 in exponential form is:

7688 = 23×312

Prime Factorization of 7692


2 7692
2 3846
3 1923
641 641
1

Prime factors of 7692 are 2, 3,641. Prime factorization of 7692 in exponential form is:

7692 = 22×31×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 7688 and 7692.

LCM(7688,7692) = 23×31×312×6411
LCM(7688,7692) = 14784024

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692

Least Common Multiple of 7688 and 7692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7688 and 7692, than apply into the LCM equation.

GCF(7688,7692) = 4
LCM(7688,7692) = ( 7688 × 7692) / 4
LCM(7688,7692) = 59136096 / 4
LCM(7688,7692) = 14784024

Properties of LCM 7688 and 7692

(i) The LCM of 7692 and 7688 is associative

LCM of 7688 and 7692 = LCM of 7692 and 7688

Related Least Common Multiples of 7688

Related Least Common Multiples of 7692

Frequently Asked Questions on LCM of 7688 and 7692

1. What is the LCM of 7688 and 7692?

Answer: LCM of 7688 and 7692 is 14784024.

2. What are the Factors of 7688?

Answer: Factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688. There are 12 integers that are factors of 7688. The greatest factor of 7688 is 7688.

3. What are the Factors of 7692?

Answer: Factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692. There are 12 integers that are factors of 7692. The greatest factor of 7692 is 7692.

4. How to Find the LCM of 7688 and 7692?

Answer:

Least Common Multiple of 7688 and 7692 = 14784024

Step 1: Find the prime factorization of 7688

7688 = 2 x 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 7692

7692 = 2 x 2 x 3 x 641

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

LCM = 14784024 = 2 x 2 x 2 x 3 x 31 x 31 x 641

Step 4: Therefore, the least common multiple of 7688 and 7692 is 14784024.