Least Common Multiple of 7684 and 7692

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 7692 the smallest integer that is 14776332 that is divisible by both numbers.

Least Common Multiple (LCM) of 7684 and 7692 is 14776332.

LCM(7684,7692) = 14776332

LCM of 7684 and 7692

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

LCM of:
and

Least Common Multiple of 7684 and 7692

LCM of 7684 and 7692 is 14776332

Least common multiple can be found by multiplying the highest exponent prime factors of 7684 and 7692. First we will calculate the prime factors of 7684 and 7692.

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 7692


2 7692
2 3846
3 1923
641 641
1

Prime factors of 7692 are 2, 3,641. Prime factorization of 7692 in exponential form is:

7692 = 22×31×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 7684 and 7692.

LCM(7684,7692) = 22×31×171×1131×6411
LCM(7684,7692) = 14776332

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 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692

Least Common Multiple of 7684 and 7692 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 7692, than apply into the LCM equation.

GCF(7684,7692) = 4
LCM(7684,7692) = ( 7684 × 7692) / 4
LCM(7684,7692) = 59105328 / 4
LCM(7684,7692) = 14776332

Properties of LCM 7684 and 7692

(i) The LCM of 7692 and 7684 is associative

LCM of 7684 and 7692 = LCM of 7692 and 7684

Related Least Common Multiples of 7684

Related Least Common Multiples of 7692

Frequently Asked Questions on LCM of 7684 and 7692

1. What is the LCM of 7684 and 7692?

Answer: LCM of 7684 and 7692 is 14776332.

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 7692?

Answer: Factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692. There are 12 integers that are factors of 7692. The greatest factor of 7692 is 7692.

4. How to Find the LCM of 7684 and 7692?

Answer:

Least Common Multiple of 7684 and 7692 = 14776332

Step 1: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

Step 2: Find the prime factorization of 7692

7692 = 2 x 2 x 3 x 641

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

LCM = 14776332 = 2 x 2 x 3 x 17 x 113 x 641

Step 4: Therefore, the least common multiple of 7684 and 7692 is 14776332.