Least Common Multiple of 7663 and 7669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7663 and 7669 the smallest integer that is 58767547 that is divisible by both numbers.

Least Common Multiple (LCM) of 7663 and 7669 is 58767547.

LCM(7663,7669) = 58767547

LCM of 7663 and 7669

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

LCM of:
and

Least Common Multiple of 7663 and 7669

LCM of 7663 and 7669 is 58767547

Least common multiple can be found by multiplying the highest exponent prime factors of 7663 and 7669. First we will calculate the prime factors of 7663 and 7669.

Prime Factorization of 7663


79 7663
97 97
1

Prime factors of 7663 are 79,97. Prime factorization of 7663 in exponential form is:

7663 = 791×971

Prime Factorization of 7669


7669 7669
1

Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:

7669 = 76691

Now multiplying the highest exponent prime factors to calculate the LCM of 7663 and 7669.

LCM(7663,7669) = 791×971×76691
LCM(7663,7669) = 58767547

Factors of 7663

List of positive integer factors of 7663 that divides 7663 without a remainder.

1, 79, 97, 7663

Factors of 7669

List of positive integer factors of 7669 that divides 7669 without a remainder.

1, 7669

Least Common Multiple of 7663 and 7669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7663 and 7669, than apply into the LCM equation.

GCF(7663,7669) = 1
LCM(7663,7669) = ( 7663 × 7669) / 1
LCM(7663,7669) = 58767547 / 1
LCM(7663,7669) = 58767547

Properties of LCM 7663 and 7669

(i) The LCM of 7669 and 7663 is associative

LCM of 7663 and 7669 = LCM of 7669 and 7663

Related Least Common Multiples of 7663

Related Least Common Multiples of 7669

Frequently Asked Questions on LCM of 7663 and 7669

1. What is the LCM of 7663 and 7669?

Answer: LCM of 7663 and 7669 is 58767547.

2. What are the Factors of 7663?

Answer: Factors of 7663 are 1, 79, 97, 7663. There are 4 integers that are factors of 7663. The greatest factor of 7663 is 7663.

3. What are the Factors of 7669?

Answer: Factors of 7669 are 1, 7669. There are 2 integers that are factors of 7669. The greatest factor of 7669 is 7669.

4. How to Find the LCM of 7663 and 7669?

Answer:

Least Common Multiple of 7663 and 7669 = 58767547

Step 1: Find the prime factorization of 7663

7663 = 79 x 97

Step 2: Find the prime factorization of 7669

7669 = 7669

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

LCM = 58767547 = 79 x 97 x 7669

Step 4: Therefore, the least common multiple of 7663 and 7669 is 58767547.