Least Common Multiple of 7698 and 7699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7698 and 7699 the smallest integer that is 59266902 that is divisible by both numbers.

Least Common Multiple (LCM) of 7698 and 7699 is 59266902.

LCM(7698,7699) = 59266902

LCM of 7698 and 7699

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

LCM of:
and

Least Common Multiple of 7698 and 7699

LCM of 7698 and 7699 is 59266902

Least common multiple can be found by multiplying the highest exponent prime factors of 7698 and 7699. First we will calculate the prime factors of 7698 and 7699.

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

Prime Factorization of 7699


7699 7699
1

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

Now multiplying the highest exponent prime factors to calculate the LCM of 7698 and 7699.

LCM(7698,7699) = 21×31×12831×76991
LCM(7698,7699) = 59266902

Factors of 7698

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

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

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1, 7699

Least Common Multiple of 7698 and 7699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7698 and 7699, than apply into the LCM equation.

GCF(7698,7699) = 1
LCM(7698,7699) = ( 7698 × 7699) / 1
LCM(7698,7699) = 59266902 / 1
LCM(7698,7699) = 59266902

Properties of LCM 7698 and 7699

(i) The LCM of 7699 and 7698 is associative

LCM of 7698 and 7699 = LCM of 7699 and 7698

Related Least Common Multiples of 7698

Related Least Common Multiples of 7699

Frequently Asked Questions on LCM of 7698 and 7699

1. What is the LCM of 7698 and 7699?

Answer: LCM of 7698 and 7699 is 59266902.

2. 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.

3. What are the Factors of 7699?

Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.

4. How to Find the LCM of 7698 and 7699?

Answer:

Least Common Multiple of 7698 and 7699 = 59266902

Step 1: Find the prime factorization of 7698

7698 = 2 x 3 x 1283

Step 2: Find the prime factorization of 7699

7699 = 7699

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

LCM = 59266902 = 2 x 3 x 1283 x 7699

Step 4: Therefore, the least common multiple of 7698 and 7699 is 59266902.