Least Common Multiple of 7704 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 7704 and 7711 the smallest integer that is 59405544 that is divisible by both numbers.

Least Common Multiple (LCM) of 7704 and 7711 is 59405544.

LCM(7704,7711) = 59405544

LCM of 7704 and 7711

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

LCM of:
and

Least Common Multiple of 7704 and 7711

LCM of 7704 and 7711 is 59405544

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7711. First we will calculate the prime factors of 7704 and 7711.

Prime Factorization of 7704


2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 7704 are 2, 3,107. Prime factorization of 7704 in exponential form is:

7704 = 23×32×1071

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 7704 and 7711.

LCM(7704,7711) = 23×32×111×1071×7011
LCM(7704,7711) = 59405544

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704

Factors of 7711

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

1, 11, 701, 7711

Least Common Multiple of 7704 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 7704 and 7711, than apply into the LCM equation.

GCF(7704,7711) = 1
LCM(7704,7711) = ( 7704 × 7711) / 1
LCM(7704,7711) = 59405544 / 1
LCM(7704,7711) = 59405544

Properties of LCM 7704 and 7711

(i) The LCM of 7711 and 7704 is associative

LCM of 7704 and 7711 = LCM of 7711 and 7704

Related Least Common Multiples of 7704

Related Least Common Multiples of 7711

Frequently Asked Questions on LCM of 7704 and 7711

1. What is the LCM of 7704 and 7711?

Answer: LCM of 7704 and 7711 is 59405544.

2. What are the Factors of 7704?

Answer: Factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704. There are 24 integers that are factors of 7704. The greatest factor of 7704 is 7704.

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 7704 and 7711?

Answer:

Least Common Multiple of 7704 and 7711 = 59405544

Step 1: Find the prime factorization of 7704

7704 = 2 x 2 x 2 x 3 x 3 x 107

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 = 59405544 = 2 x 2 x 2 x 3 x 3 x 11 x 107 x 701

Step 4: Therefore, the least common multiple of 7704 and 7711 is 59405544.