Least Common Multiple of 7682 and 7686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7682 and 7686 the smallest integer that is 29521926 that is divisible by both numbers.

Least Common Multiple (LCM) of 7682 and 7686 is 29521926.

LCM(7682,7686) = 29521926

LCM of 7682 and 7686

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

LCM of:
and

Least Common Multiple of 7682 and 7686

LCM of 7682 and 7686 is 29521926

Least common multiple can be found by multiplying the highest exponent prime factors of 7682 and 7686. First we will calculate the prime factors of 7682 and 7686.

Prime Factorization of 7682


2 7682
23 3841
167 167
1

Prime factors of 7682 are 2, 23,167. Prime factorization of 7682 in exponential form is:

7682 = 21×231×1671

Prime Factorization of 7686


2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 7686 are 2, 3, 7,61. Prime factorization of 7686 in exponential form is:

7686 = 21×32×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7682 and 7686.

LCM(7682,7686) = 21×32×71×231×611×1671
LCM(7682,7686) = 29521926

Factors of 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1, 2, 23, 46, 167, 334, 3841, 7682

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686

Least Common Multiple of 7682 and 7686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7682 and 7686, than apply into the LCM equation.

GCF(7682,7686) = 2
LCM(7682,7686) = ( 7682 × 7686) / 2
LCM(7682,7686) = 59043852 / 2
LCM(7682,7686) = 29521926

Properties of LCM 7682 and 7686

(i) The LCM of 7686 and 7682 is associative

LCM of 7682 and 7686 = LCM of 7686 and 7682

Related Least Common Multiples of 7682

Related Least Common Multiples of 7686

Frequently Asked Questions on LCM of 7682 and 7686

1. What is the LCM of 7682 and 7686?

Answer: LCM of 7682 and 7686 is 29521926.

2. What are the Factors of 7682?

Answer: Factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682. There are 8 integers that are factors of 7682. The greatest factor of 7682 is 7682.

3. What are the Factors of 7686?

Answer: Factors of 7686 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686. There are 24 integers that are factors of 7686. The greatest factor of 7686 is 7686.

4. How to Find the LCM of 7682 and 7686?

Answer:

Least Common Multiple of 7682 and 7686 = 29521926

Step 1: Find the prime factorization of 7682

7682 = 2 x 23 x 167

Step 2: Find the prime factorization of 7686

7686 = 2 x 3 x 3 x 7 x 61

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

LCM = 29521926 = 2 x 3 x 3 x 7 x 23 x 61 x 167

Step 4: Therefore, the least common multiple of 7682 and 7686 is 29521926.