Least Common Multiple of 7674 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 7674 and 7682 the smallest integer that is 29475834 that is divisible by both numbers.

Least Common Multiple (LCM) of 7674 and 7682 is 29475834.

LCM(7674,7682) = 29475834

LCM of 7674 and 7682

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

LCM of:
and

Least Common Multiple of 7674 and 7682

LCM of 7674 and 7682 is 29475834

Least common multiple can be found by multiplying the highest exponent prime factors of 7674 and 7682. First we will calculate the prime factors of 7674 and 7682.

Prime Factorization of 7674


2 7674
3 3837
1279 1279
1

Prime factors of 7674 are 2, 3,1279. Prime factorization of 7674 in exponential form is:

7674 = 21×31×12791

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 7674 and 7682.

LCM(7674,7682) = 21×31×231×1671×12791
LCM(7674,7682) = 29475834

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1, 2, 3, 6, 1279, 2558, 3837, 7674

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 7674 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 7674 and 7682, than apply into the LCM equation.

GCF(7674,7682) = 2
LCM(7674,7682) = ( 7674 × 7682) / 2
LCM(7674,7682) = 58951668 / 2
LCM(7674,7682) = 29475834

Properties of LCM 7674 and 7682

(i) The LCM of 7682 and 7674 is associative

LCM of 7674 and 7682 = LCM of 7682 and 7674

Related Least Common Multiples of 7674

Related Least Common Multiples of 7682

Frequently Asked Questions on LCM of 7674 and 7682

1. What is the LCM of 7674 and 7682?

Answer: LCM of 7674 and 7682 is 29475834.

2. What are the Factors of 7674?

Answer: Factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674. There are 8 integers that are factors of 7674. The greatest factor of 7674 is 7674.

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 7674 and 7682?

Answer:

Least Common Multiple of 7674 and 7682 = 29475834

Step 1: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

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 = 29475834 = 2 x 3 x 23 x 167 x 1279

Step 4: Therefore, the least common multiple of 7674 and 7682 is 29475834.