Least Common Multiple of 7703 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 7703 and 7707 the smallest integer that is 59367021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7703 and 7707 is 59367021.

LCM(7703,7707) = 59367021

LCM of 7703 and 7707

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

LCM of:
and

Least Common Multiple of 7703 and 7707

LCM of 7703 and 7707 is 59367021

Least common multiple can be found by multiplying the highest exponent prime factors of 7703 and 7707. First we will calculate the prime factors of 7703 and 7707.

Prime Factorization of 7703


7703 7703
1

Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:

7703 = 77031

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 7703 and 7707.

LCM(7703,7707) = 31×71×3671×77031
LCM(7703,7707) = 59367021

Factors of 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1, 7703

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 7703 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 7703 and 7707, than apply into the LCM equation.

GCF(7703,7707) = 1
LCM(7703,7707) = ( 7703 × 7707) / 1
LCM(7703,7707) = 59367021 / 1
LCM(7703,7707) = 59367021

Properties of LCM 7703 and 7707

(i) The LCM of 7707 and 7703 is associative

LCM of 7703 and 7707 = LCM of 7707 and 7703

Related Least Common Multiples of 7703

Related Least Common Multiples of 7707

Frequently Asked Questions on LCM of 7703 and 7707

1. What is the LCM of 7703 and 7707?

Answer: LCM of 7703 and 7707 is 59367021.

2. What are the Factors of 7703?

Answer: Factors of 7703 are 1, 7703. There are 2 integers that are factors of 7703. The greatest factor of 7703 is 7703.

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 7703 and 7707?

Answer:

Least Common Multiple of 7703 and 7707 = 59367021

Step 1: Find the prime factorization of 7703

7703 = 7703

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 = 59367021 = 3 x 7 x 367 x 7703

Step 4: Therefore, the least common multiple of 7703 and 7707 is 59367021.