Least Common Multiple of 7699 and 7704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7699 and 7704 the smallest integer that is 59313096 that is divisible by both numbers.

Least Common Multiple (LCM) of 7699 and 7704 is 59313096.

LCM(7699,7704) = 59313096

LCM of 7699 and 7704

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

LCM of:
and

Least Common Multiple of 7699 and 7704

LCM of 7699 and 7704 is 59313096

Least common multiple can be found by multiplying the highest exponent prime factors of 7699 and 7704. First we will calculate the prime factors of 7699 and 7704.

Prime Factorization of 7699


7699 7699
1

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7699 and 7704.

LCM(7699,7704) = 23×32×1071×76991
LCM(7699,7704) = 59313096

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1, 7699

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

Least Common Multiple of 7699 and 7704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7699 and 7704, than apply into the LCM equation.

GCF(7699,7704) = 1
LCM(7699,7704) = ( 7699 × 7704) / 1
LCM(7699,7704) = 59313096 / 1
LCM(7699,7704) = 59313096

Properties of LCM 7699 and 7704

(i) The LCM of 7704 and 7699 is associative

LCM of 7699 and 7704 = LCM of 7704 and 7699

Related Least Common Multiples of 7699

Related Least Common Multiples of 7704

Frequently Asked Questions on LCM of 7699 and 7704

1. What is the LCM of 7699 and 7704?

Answer: LCM of 7699 and 7704 is 59313096.

2. What are the Factors of 7699?

Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.

3. 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.

4. How to Find the LCM of 7699 and 7704?

Answer:

Least Common Multiple of 7699 and 7704 = 59313096

Step 1: Find the prime factorization of 7699

7699 = 7699

Step 2: Find the prime factorization of 7704

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

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

LCM = 59313096 = 2 x 2 x 2 x 3 x 3 x 107 x 7699

Step 4: Therefore, the least common multiple of 7699 and 7704 is 59313096.