Least Common Multiple of 7660 and 7667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7660 and 7667 the smallest integer that is 58729220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7660 and 7667 is 58729220.

LCM(7660,7667) = 58729220

LCM of 7660 and 7667

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

LCM of:
and

Least Common Multiple of 7660 and 7667

LCM of 7660 and 7667 is 58729220

Least common multiple can be found by multiplying the highest exponent prime factors of 7660 and 7667. First we will calculate the prime factors of 7660 and 7667.

Prime Factorization of 7660


2 7660
2 3830
5 1915
383 383
1

Prime factors of 7660 are 2, 5,383. Prime factorization of 7660 in exponential form is:

7660 = 22×51×3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7660 and 7667.

LCM(7660,7667) = 22×51×111×171×411×3831
LCM(7660,7667) = 58729220

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660

Factors of 7667

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

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

Least Common Multiple of 7660 and 7667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7660 and 7667, than apply into the LCM equation.

GCF(7660,7667) = 1
LCM(7660,7667) = ( 7660 × 7667) / 1
LCM(7660,7667) = 58729220 / 1
LCM(7660,7667) = 58729220

Properties of LCM 7660 and 7667

(i) The LCM of 7667 and 7660 is associative

LCM of 7660 and 7667 = LCM of 7667 and 7660

Related Least Common Multiples of 7660

Related Least Common Multiples of 7667

Frequently Asked Questions on LCM of 7660 and 7667

1. What is the LCM of 7660 and 7667?

Answer: LCM of 7660 and 7667 is 58729220.

2. What are the Factors of 7660?

Answer: Factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660. There are 12 integers that are factors of 7660. The greatest factor of 7660 is 7660.

3. 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.

4. How to Find the LCM of 7660 and 7667?

Answer:

Least Common Multiple of 7660 and 7667 = 58729220

Step 1: Find the prime factorization of 7660

7660 = 2 x 2 x 5 x 383

Step 2: Find the prime factorization of 7667

7667 = 11 x 17 x 41

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

LCM = 58729220 = 2 x 2 x 5 x 11 x 17 x 41 x 383

Step 4: Therefore, the least common multiple of 7660 and 7667 is 58729220.