Least Common Multiple of 7683 and 7688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7683 and 7688 the smallest integer that is 59066904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7683 and 7688 is 59066904.

LCM(7683,7688) = 59066904

LCM of 7683 and 7688

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

LCM of:
and

Least Common Multiple of 7683 and 7688

LCM of 7683 and 7688 is 59066904

Least common multiple can be found by multiplying the highest exponent prime factors of 7683 and 7688. First we will calculate the prime factors of 7683 and 7688.

Prime Factorization of 7683


3 7683
13 2561
197 197
1

Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:

7683 = 31×131×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7683 and 7688.

LCM(7683,7688) = 23×31×131×312×1971
LCM(7683,7688) = 59066904

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1, 3, 13, 39, 197, 591, 2561, 7683

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

Least Common Multiple of 7683 and 7688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7683 and 7688, than apply into the LCM equation.

GCF(7683,7688) = 1
LCM(7683,7688) = ( 7683 × 7688) / 1
LCM(7683,7688) = 59066904 / 1
LCM(7683,7688) = 59066904

Properties of LCM 7683 and 7688

(i) The LCM of 7688 and 7683 is associative

LCM of 7683 and 7688 = LCM of 7688 and 7683

Related Least Common Multiples of 7683

Related Least Common Multiples of 7688

Frequently Asked Questions on LCM of 7683 and 7688

1. What is the LCM of 7683 and 7688?

Answer: LCM of 7683 and 7688 is 59066904.

2. What are the Factors of 7683?

Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.

3. 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.

4. How to Find the LCM of 7683 and 7688?

Answer:

Least Common Multiple of 7683 and 7688 = 59066904

Step 1: Find the prime factorization of 7683

7683 = 3 x 13 x 197

Step 2: Find the prime factorization of 7688

7688 = 2 x 2 x 2 x 31 x 31

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

LCM = 59066904 = 2 x 2 x 2 x 3 x 13 x 31 x 31 x 197

Step 4: Therefore, the least common multiple of 7683 and 7688 is 59066904.