Least Common Multiple of 7707 and 7713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7707 and 7713 the smallest integer that is 19814697 that is divisible by both numbers.

Least Common Multiple (LCM) of 7707 and 7713 is 19814697.

LCM(7707,7713) = 19814697

LCM of 7707 and 7713

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

LCM of:
and

Least Common Multiple of 7707 and 7713

LCM of 7707 and 7713 is 19814697

Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7713. First we will calculate the prime factors of 7707 and 7713.

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

Prime Factorization of 7713


3 7713
3 2571
857 857
1

Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:

7713 = 32×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 7707 and 7713.

LCM(7707,7713) = 32×71×3671×8571
LCM(7707,7713) = 19814697

Factors of 7707

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

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

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1, 3, 9, 857, 2571, 7713

Least Common Multiple of 7707 and 7713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7707 and 7713, than apply into the LCM equation.

GCF(7707,7713) = 3
LCM(7707,7713) = ( 7707 × 7713) / 3
LCM(7707,7713) = 59444091 / 3
LCM(7707,7713) = 19814697

Properties of LCM 7707 and 7713

(i) The LCM of 7713 and 7707 is associative

LCM of 7707 and 7713 = LCM of 7713 and 7707

Related Least Common Multiples of 7707

Related Least Common Multiples of 7713

Frequently Asked Questions on LCM of 7707 and 7713

1. What is the LCM of 7707 and 7713?

Answer: LCM of 7707 and 7713 is 19814697.

2. 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.

3. What are the Factors of 7713?

Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.

4. How to Find the LCM of 7707 and 7713?

Answer:

Least Common Multiple of 7707 and 7713 = 19814697

Step 1: Find the prime factorization of 7707

7707 = 3 x 7 x 367

Step 2: Find the prime factorization of 7713

7713 = 3 x 3 x 857

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

LCM = 19814697 = 3 x 3 x 7 x 367 x 857

Step 4: Therefore, the least common multiple of 7707 and 7713 is 19814697.