Least Common Multiple of 7667 and 7674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7667 and 7674 the smallest integer that is 58836558 that is divisible by both numbers.

Least Common Multiple (LCM) of 7667 and 7674 is 58836558.

LCM(7667,7674) = 58836558

LCM of 7667 and 7674

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

LCM of:
and

Least Common Multiple of 7667 and 7674

LCM of 7667 and 7674 is 58836558

Least common multiple can be found by multiplying the highest exponent prime factors of 7667 and 7674. First we will calculate the prime factors of 7667 and 7674.

Prime Factorization of 7667


11 7667
17 697
41 41
1

Prime factors of 7667 are 11, 17,41. Prime factorization of 7667 in exponential form is:

7667 = 111×171×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7667 and 7674.

LCM(7667,7674) = 21×31×111×171×411×12791
LCM(7667,7674) = 58836558

Factors of 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1, 11, 17, 41, 187, 451, 697, 7667

Factors of 7674

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

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

Least Common Multiple of 7667 and 7674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7667 and 7674, than apply into the LCM equation.

GCF(7667,7674) = 1
LCM(7667,7674) = ( 7667 × 7674) / 1
LCM(7667,7674) = 58836558 / 1
LCM(7667,7674) = 58836558

Properties of LCM 7667 and 7674

(i) The LCM of 7674 and 7667 is associative

LCM of 7667 and 7674 = LCM of 7674 and 7667

Related Least Common Multiples of 7667

Related Least Common Multiples of 7674

Frequently Asked Questions on LCM of 7667 and 7674

1. What is the LCM of 7667 and 7674?

Answer: LCM of 7667 and 7674 is 58836558.

2. What are the Factors of 7667?

Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.

3. 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.

4. How to Find the LCM of 7667 and 7674?

Answer:

Least Common Multiple of 7667 and 7674 = 58836558

Step 1: Find the prime factorization of 7667

7667 = 11 x 17 x 41

Step 2: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

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

LCM = 58836558 = 2 x 3 x 11 x 17 x 41 x 1279

Step 4: Therefore, the least common multiple of 7667 and 7674 is 58836558.