Least Common Multiple of 7699 and 7707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7699 and 7707 the smallest integer that is 59336193 that is divisible by both numbers.

Least Common Multiple (LCM) of 7699 and 7707 is 59336193.

LCM(7699,7707) = 59336193

LCM of 7699 and 7707

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

LCM of:
and

Least Common Multiple of 7699 and 7707

LCM of 7699 and 7707 is 59336193

Least common multiple can be found by multiplying the highest exponent prime factors of 7699 and 7707. First we will calculate the prime factors of 7699 and 7707.

Prime Factorization of 7699


7699 7699
1

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

7699 = 76991

Prime Factorization of 7707


3 7707
7 2569
367 367
1

Prime factors of 7707 are 3, 7,367. Prime factorization of 7707 in exponential form is:

7707 = 31×71×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 7699 and 7707.

LCM(7699,7707) = 31×71×3671×76991
LCM(7699,7707) = 59336193

Factors of 7699

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

1, 7699

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1, 3, 7, 21, 367, 1101, 2569, 7707

Least Common Multiple of 7699 and 7707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7699 and 7707, than apply into the LCM equation.

GCF(7699,7707) = 1
LCM(7699,7707) = ( 7699 × 7707) / 1
LCM(7699,7707) = 59336193 / 1
LCM(7699,7707) = 59336193

Properties of LCM 7699 and 7707

(i) The LCM of 7707 and 7699 is associative

LCM of 7699 and 7707 = LCM of 7707 and 7699

Related Least Common Multiples of 7699

Related Least Common Multiples of 7707

Frequently Asked Questions on LCM of 7699 and 7707

1. What is the LCM of 7699 and 7707?

Answer: LCM of 7699 and 7707 is 59336193.

2. 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.

3. What are the Factors of 7707?

Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.

4. How to Find the LCM of 7699 and 7707?

Answer:

Least Common Multiple of 7699 and 7707 = 59336193

Step 1: Find the prime factorization of 7699

7699 = 7699

Step 2: Find the prime factorization of 7707

7707 = 3 x 7 x 367

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

LCM = 59336193 = 3 x 7 x 367 x 7699

Step 4: Therefore, the least common multiple of 7699 and 7707 is 59336193.