Least Common Multiple of 7688 and 7694

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 7694 the smallest integer that is 29575736 that is divisible by both numbers.

Least Common Multiple (LCM) of 7688 and 7694 is 29575736.

LCM(7688,7694) = 29575736

LCM of 7688 and 7694

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

LCM of:
and

Least Common Multiple of 7688 and 7694

LCM of 7688 and 7694 is 29575736

Least common multiple can be found by multiplying the highest exponent prime factors of 7688 and 7694. First we will calculate the prime factors of 7688 and 7694.

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 7694


2 7694
3847 3847
1

Prime factors of 7694 are 2,3847. Prime factorization of 7694 in exponential form is:

7694 = 21×38471

Now multiplying the highest exponent prime factors to calculate the LCM of 7688 and 7694.

LCM(7688,7694) = 23×312×38471
LCM(7688,7694) = 29575736

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 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1, 2, 3847, 7694

Least Common Multiple of 7688 and 7694 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 7694, than apply into the LCM equation.

GCF(7688,7694) = 2
LCM(7688,7694) = ( 7688 × 7694) / 2
LCM(7688,7694) = 59151472 / 2
LCM(7688,7694) = 29575736

Properties of LCM 7688 and 7694

(i) The LCM of 7694 and 7688 is associative

LCM of 7688 and 7694 = LCM of 7694 and 7688

Related Least Common Multiples of 7688

Related Least Common Multiples of 7694

Frequently Asked Questions on LCM of 7688 and 7694

1. What is the LCM of 7688 and 7694?

Answer: LCM of 7688 and 7694 is 29575736.

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 7694?

Answer: Factors of 7694 are 1, 2, 3847, 7694. There are 4 integers that are factors of 7694. The greatest factor of 7694 is 7694.

4. How to Find the LCM of 7688 and 7694?

Answer:

Least Common Multiple of 7688 and 7694 = 29575736

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 7694

7694 = 2 x 3847

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

LCM = 29575736 = 2 x 2 x 2 x 31 x 31 x 3847

Step 4: Therefore, the least common multiple of 7688 and 7694 is 29575736.