Least Common Multiple of 7676 and 7682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7676 and 7682 the smallest integer that is 29483516 that is divisible by both numbers.

Least Common Multiple (LCM) of 7676 and 7682 is 29483516.

LCM(7676,7682) = 29483516

LCM of 7676 and 7682

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

LCM of:
and

Least Common Multiple of 7676 and 7682

LCM of 7676 and 7682 is 29483516

Least common multiple can be found by multiplying the highest exponent prime factors of 7676 and 7682. First we will calculate the prime factors of 7676 and 7682.

Prime Factorization of 7676


2 7676
2 3838
19 1919
101 101
1

Prime factors of 7676 are 2, 19,101. Prime factorization of 7676 in exponential form is:

7676 = 22×191×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7676 and 7682.

LCM(7676,7682) = 22×191×231×1011×1671
LCM(7676,7682) = 29483516

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676

Factors of 7682

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

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

Least Common Multiple of 7676 and 7682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7676 and 7682, than apply into the LCM equation.

GCF(7676,7682) = 2
LCM(7676,7682) = ( 7676 × 7682) / 2
LCM(7676,7682) = 58967032 / 2
LCM(7676,7682) = 29483516

Properties of LCM 7676 and 7682

(i) The LCM of 7682 and 7676 is associative

LCM of 7676 and 7682 = LCM of 7682 and 7676

Related Least Common Multiples of 7676

Related Least Common Multiples of 7682

Frequently Asked Questions on LCM of 7676 and 7682

1. What is the LCM of 7676 and 7682?

Answer: LCM of 7676 and 7682 is 29483516.

2. What are the Factors of 7676?

Answer: Factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676. There are 12 integers that are factors of 7676. The greatest factor of 7676 is 7676.

3. 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.

4. How to Find the LCM of 7676 and 7682?

Answer:

Least Common Multiple of 7676 and 7682 = 29483516

Step 1: Find the prime factorization of 7676

7676 = 2 x 2 x 19 x 101

Step 2: Find the prime factorization of 7682

7682 = 2 x 23 x 167

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

LCM = 29483516 = 2 x 2 x 19 x 23 x 101 x 167

Step 4: Therefore, the least common multiple of 7676 and 7682 is 29483516.