Least Common Multiple of 7684 and 7690

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 7690 the smallest integer that is 29544980 that is divisible by both numbers.

Least Common Multiple (LCM) of 7684 and 7690 is 29544980.

LCM(7684,7690) = 29544980

LCM of 7684 and 7690

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

LCM of:
and

Least Common Multiple of 7684 and 7690

LCM of 7684 and 7690 is 29544980

Least common multiple can be found by multiplying the highest exponent prime factors of 7684 and 7690. First we will calculate the prime factors of 7684 and 7690.

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 7690


2 7690
5 3845
769 769
1

Prime factors of 7690 are 2, 5,769. Prime factorization of 7690 in exponential form is:

7690 = 21×51×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 7684 and 7690.

LCM(7684,7690) = 22×51×171×1131×7691
LCM(7684,7690) = 29544980

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 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1, 2, 5, 10, 769, 1538, 3845, 7690

Least Common Multiple of 7684 and 7690 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 7690, than apply into the LCM equation.

GCF(7684,7690) = 2
LCM(7684,7690) = ( 7684 × 7690) / 2
LCM(7684,7690) = 59089960 / 2
LCM(7684,7690) = 29544980

Properties of LCM 7684 and 7690

(i) The LCM of 7690 and 7684 is associative

LCM of 7684 and 7690 = LCM of 7690 and 7684

Related Least Common Multiples of 7684

Related Least Common Multiples of 7690

Frequently Asked Questions on LCM of 7684 and 7690

1. What is the LCM of 7684 and 7690?

Answer: LCM of 7684 and 7690 is 29544980.

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 7690?

Answer: Factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690. There are 8 integers that are factors of 7690. The greatest factor of 7690 is 7690.

4. How to Find the LCM of 7684 and 7690?

Answer:

Least Common Multiple of 7684 and 7690 = 29544980

Step 1: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

Step 2: Find the prime factorization of 7690

7690 = 2 x 5 x 769

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

LCM = 29544980 = 2 x 2 x 5 x 17 x 113 x 769

Step 4: Therefore, the least common multiple of 7684 and 7690 is 29544980.