Least Common Multiple of 7693 and 7697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7693 and 7697 the smallest integer that is 59213021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7693 and 7697 is 59213021.

LCM(7693,7697) = 59213021

LCM of 7693 and 7697

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

LCM of:
and

Least Common Multiple of 7693 and 7697

LCM of 7693 and 7697 is 59213021

Least common multiple can be found by multiplying the highest exponent prime factors of 7693 and 7697. First we will calculate the prime factors of 7693 and 7697.

Prime Factorization of 7693


7 7693
7 1099
157 157
1

Prime factors of 7693 are 7,157. Prime factorization of 7693 in exponential form is:

7693 = 72×1571

Prime Factorization of 7697


43 7697
179 179
1

Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:

7697 = 431×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7693 and 7697.

LCM(7693,7697) = 72×431×1571×1791
LCM(7693,7697) = 59213021

Factors of 7693

List of positive integer factors of 7693 that divides 7693 without a remainder.

1, 7, 49, 157, 1099, 7693

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1, 43, 179, 7697

Least Common Multiple of 7693 and 7697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7693 and 7697, than apply into the LCM equation.

GCF(7693,7697) = 1
LCM(7693,7697) = ( 7693 × 7697) / 1
LCM(7693,7697) = 59213021 / 1
LCM(7693,7697) = 59213021

Properties of LCM 7693 and 7697

(i) The LCM of 7697 and 7693 is associative

LCM of 7693 and 7697 = LCM of 7697 and 7693

Related Least Common Multiples of 7693

Related Least Common Multiples of 7697

Frequently Asked Questions on LCM of 7693 and 7697

1. What is the LCM of 7693 and 7697?

Answer: LCM of 7693 and 7697 is 59213021.

2. What are the Factors of 7693?

Answer: Factors of 7693 are 1, 7, 49, 157, 1099, 7693. There are 6 integers that are factors of 7693. The greatest factor of 7693 is 7693.

3. What are the Factors of 7697?

Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.

4. How to Find the LCM of 7693 and 7697?

Answer:

Least Common Multiple of 7693 and 7697 = 59213021

Step 1: Find the prime factorization of 7693

7693 = 7 x 7 x 157

Step 2: Find the prime factorization of 7697

7697 = 43 x 179

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

LCM = 59213021 = 7 x 7 x 43 x 157 x 179

Step 4: Therefore, the least common multiple of 7693 and 7697 is 59213021.