Least Common Multiple of 7694 and 7698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7694 and 7698 the smallest integer that is 29614206 that is divisible by both numbers.

Least Common Multiple (LCM) of 7694 and 7698 is 29614206.

LCM(7694,7698) = 29614206

LCM of 7694 and 7698

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

LCM of:
and

Least Common Multiple of 7694 and 7698

LCM of 7694 and 7698 is 29614206

Least common multiple can be found by multiplying the highest exponent prime factors of 7694 and 7698. First we will calculate the prime factors of 7694 and 7698.

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

Prime Factorization of 7698


2 7698
3 3849
1283 1283
1

Prime factors of 7698 are 2, 3,1283. Prime factorization of 7698 in exponential form is:

7698 = 21×31×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 7694 and 7698.

LCM(7694,7698) = 21×31×12831×38471
LCM(7694,7698) = 29614206

Factors of 7694

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

1, 2, 3847, 7694

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1, 2, 3, 6, 1283, 2566, 3849, 7698

Least Common Multiple of 7694 and 7698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7694 and 7698, than apply into the LCM equation.

GCF(7694,7698) = 2
LCM(7694,7698) = ( 7694 × 7698) / 2
LCM(7694,7698) = 59228412 / 2
LCM(7694,7698) = 29614206

Properties of LCM 7694 and 7698

(i) The LCM of 7698 and 7694 is associative

LCM of 7694 and 7698 = LCM of 7698 and 7694

Related Least Common Multiples of 7694

Related Least Common Multiples of 7698

Frequently Asked Questions on LCM of 7694 and 7698

1. What is the LCM of 7694 and 7698?

Answer: LCM of 7694 and 7698 is 29614206.

2. 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.

3. What are the Factors of 7698?

Answer: Factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698. There are 8 integers that are factors of 7698. The greatest factor of 7698 is 7698.

4. How to Find the LCM of 7694 and 7698?

Answer:

Least Common Multiple of 7694 and 7698 = 29614206

Step 1: Find the prime factorization of 7694

7694 = 2 x 3847

Step 2: Find the prime factorization of 7698

7698 = 2 x 3 x 1283

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

LCM = 29614206 = 2 x 3 x 1283 x 3847

Step 4: Therefore, the least common multiple of 7694 and 7698 is 29614206.