Least Common Multiple of 7703 and 7711

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 7711 the smallest integer that is 59397833 that is divisible by both numbers.

Least Common Multiple (LCM) of 7703 and 7711 is 59397833.

LCM(7703,7711) = 59397833

LCM of 7703 and 7711

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

LCM of:
and

Least Common Multiple of 7703 and 7711

LCM of 7703 and 7711 is 59397833

Least common multiple can be found by multiplying the highest exponent prime factors of 7703 and 7711. First we will calculate the prime factors of 7703 and 7711.

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 7711


11 7711
701 701
1

Prime factors of 7711 are 11,701. Prime factorization of 7711 in exponential form is:

7711 = 111×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 7703 and 7711.

LCM(7703,7711) = 111×7011×77031
LCM(7703,7711) = 59397833

Factors of 7703

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

1, 7703

Factors of 7711

List of positive integer factors of 7711 that divides 7711 without a remainder.

1, 11, 701, 7711

Least Common Multiple of 7703 and 7711 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 7711, than apply into the LCM equation.

GCF(7703,7711) = 1
LCM(7703,7711) = ( 7703 × 7711) / 1
LCM(7703,7711) = 59397833 / 1
LCM(7703,7711) = 59397833

Properties of LCM 7703 and 7711

(i) The LCM of 7711 and 7703 is associative

LCM of 7703 and 7711 = LCM of 7711 and 7703

Related Least Common Multiples of 7703

Related Least Common Multiples of 7711

Frequently Asked Questions on LCM of 7703 and 7711

1. What is the LCM of 7703 and 7711?

Answer: LCM of 7703 and 7711 is 59397833.

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 7711?

Answer: Factors of 7711 are 1, 11, 701, 7711. There are 4 integers that are factors of 7711. The greatest factor of 7711 is 7711.

4. How to Find the LCM of 7703 and 7711?

Answer:

Least Common Multiple of 7703 and 7711 = 59397833

Step 1: Find the prime factorization of 7703

7703 = 7703

Step 2: Find the prime factorization of 7711

7711 = 11 x 701

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

LCM = 59397833 = 11 x 701 x 7703

Step 4: Therefore, the least common multiple of 7703 and 7711 is 59397833.