Least Common Multiple of 7684 and 7691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7684 and 7691 the smallest integer that is 59097644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7684 and 7691 is 59097644.

LCM(7684,7691) = 59097644

LCM of 7684 and 7691

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

LCM of:
and

Least Common Multiple of 7684 and 7691

LCM of 7684 and 7691 is 59097644

Least common multiple can be found by multiplying the highest exponent prime factors of 7684 and 7691. First we will calculate the prime factors of 7684 and 7691.

Prime Factorization of 7684


2 7684
2 3842
17 1921
113 113
1

Prime factors of 7684 are 2, 17,113. Prime factorization of 7684 in exponential form is:

7684 = 22×171×1131

Prime Factorization of 7691


7691 7691
1

Prime factors of 7691 are 7691. Prime factorization of 7691 in exponential form is:

7691 = 76911

Now multiplying the highest exponent prime factors to calculate the LCM of 7684 and 7691.

LCM(7684,7691) = 22×171×1131×76911
LCM(7684,7691) = 59097644

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

Factors of 7691

List of positive integer factors of 7691 that divides 7691 without a remainder.

1, 7691

Least Common Multiple of 7684 and 7691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7684 and 7691, than apply into the LCM equation.

GCF(7684,7691) = 1
LCM(7684,7691) = ( 7684 × 7691) / 1
LCM(7684,7691) = 59097644 / 1
LCM(7684,7691) = 59097644

Properties of LCM 7684 and 7691

(i) The LCM of 7691 and 7684 is associative

LCM of 7684 and 7691 = LCM of 7691 and 7684

Related Least Common Multiples of 7684

Related Least Common Multiples of 7691

Frequently Asked Questions on LCM of 7684 and 7691

1. What is the LCM of 7684 and 7691?

Answer: LCM of 7684 and 7691 is 59097644.

2. What are the Factors of 7684?

Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.

3. What are the Factors of 7691?

Answer: Factors of 7691 are 1, 7691. There are 2 integers that are factors of 7691. The greatest factor of 7691 is 7691.

4. How to Find the LCM of 7684 and 7691?

Answer:

Least Common Multiple of 7684 and 7691 = 59097644

Step 1: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

Step 2: Find the prime factorization of 7691

7691 = 7691

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

LCM = 59097644 = 2 x 2 x 17 x 113 x 7691

Step 4: Therefore, the least common multiple of 7684 and 7691 is 59097644.