Least Common Multiple of 7697 and 7702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7697 and 7702 the smallest integer that is 59282294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7697 and 7702 is 59282294.

LCM(7697,7702) = 59282294

LCM of 7697 and 7702

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

LCM of:
and

Least Common Multiple of 7697 and 7702

LCM of 7697 and 7702 is 59282294

Least common multiple can be found by multiplying the highest exponent prime factors of 7697 and 7702. First we will calculate the prime factors of 7697 and 7702.

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

Prime Factorization of 7702


2 7702
3851 3851
1

Prime factors of 7702 are 2,3851. Prime factorization of 7702 in exponential form is:

7702 = 21×38511

Now multiplying the highest exponent prime factors to calculate the LCM of 7697 and 7702.

LCM(7697,7702) = 21×431×1791×38511
LCM(7697,7702) = 59282294

Factors of 7697

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

1, 43, 179, 7697

Factors of 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1, 2, 3851, 7702

Least Common Multiple of 7697 and 7702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7697 and 7702, than apply into the LCM equation.

GCF(7697,7702) = 1
LCM(7697,7702) = ( 7697 × 7702) / 1
LCM(7697,7702) = 59282294 / 1
LCM(7697,7702) = 59282294

Properties of LCM 7697 and 7702

(i) The LCM of 7702 and 7697 is associative

LCM of 7697 and 7702 = LCM of 7702 and 7697

Related Least Common Multiples of 7697

Related Least Common Multiples of 7702

Frequently Asked Questions on LCM of 7697 and 7702

1. What is the LCM of 7697 and 7702?

Answer: LCM of 7697 and 7702 is 59282294.

2. 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.

3. What are the Factors of 7702?

Answer: Factors of 7702 are 1, 2, 3851, 7702. There are 4 integers that are factors of 7702. The greatest factor of 7702 is 7702.

4. How to Find the LCM of 7697 and 7702?

Answer:

Least Common Multiple of 7697 and 7702 = 59282294

Step 1: Find the prime factorization of 7697

7697 = 43 x 179

Step 2: Find the prime factorization of 7702

7702 = 2 x 3851

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

LCM = 59282294 = 2 x 43 x 179 x 3851

Step 4: Therefore, the least common multiple of 7697 and 7702 is 59282294.