Least Common Multiple of 7711 and 7716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7711 and 7716 the smallest integer that is 59498076 that is divisible by both numbers.

Least Common Multiple (LCM) of 7711 and 7716 is 59498076.

LCM(7711,7716) = 59498076

LCM of 7711 and 7716

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

LCM of:
and

Least Common Multiple of 7711 and 7716

LCM of 7711 and 7716 is 59498076

Least common multiple can be found by multiplying the highest exponent prime factors of 7711 and 7716. First we will calculate the prime factors of 7711 and 7716.

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

Prime Factorization of 7716


2 7716
2 3858
3 1929
643 643
1

Prime factors of 7716 are 2, 3,643. Prime factorization of 7716 in exponential form is:

7716 = 22×31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7711 and 7716.

LCM(7711,7716) = 22×31×111×6431×7011
LCM(7711,7716) = 59498076

Factors of 7711

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

1, 11, 701, 7711

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716

Least Common Multiple of 7711 and 7716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7711 and 7716, than apply into the LCM equation.

GCF(7711,7716) = 1
LCM(7711,7716) = ( 7711 × 7716) / 1
LCM(7711,7716) = 59498076 / 1
LCM(7711,7716) = 59498076

Properties of LCM 7711 and 7716

(i) The LCM of 7716 and 7711 is associative

LCM of 7711 and 7716 = LCM of 7716 and 7711

Related Least Common Multiples of 7711

Related Least Common Multiples of 7716

Frequently Asked Questions on LCM of 7711 and 7716

1. What is the LCM of 7711 and 7716?

Answer: LCM of 7711 and 7716 is 59498076.

2. 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.

3. What are the Factors of 7716?

Answer: Factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716. There are 12 integers that are factors of 7716. The greatest factor of 7716 is 7716.

4. How to Find the LCM of 7711 and 7716?

Answer:

Least Common Multiple of 7711 and 7716 = 59498076

Step 1: Find the prime factorization of 7711

7711 = 11 x 701

Step 2: Find the prime factorization of 7716

7716 = 2 x 2 x 3 x 643

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

LCM = 59498076 = 2 x 2 x 3 x 11 x 643 x 701

Step 4: Therefore, the least common multiple of 7711 and 7716 is 59498076.