Least Common Multiple of 7702 and 7708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7702 and 7708 the smallest integer that is 29683508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7702 and 7708 is 29683508.

LCM(7702,7708) = 29683508

LCM of 7702 and 7708

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

LCM of:
and

Least Common Multiple of 7702 and 7708

LCM of 7702 and 7708 is 29683508

Least common multiple can be found by multiplying the highest exponent prime factors of 7702 and 7708. First we will calculate the prime factors of 7702 and 7708.

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

Prime Factorization of 7708


2 7708
2 3854
41 1927
47 47
1

Prime factors of 7708 are 2, 41,47. Prime factorization of 7708 in exponential form is:

7708 = 22×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7702 and 7708.

LCM(7702,7708) = 22×411×471×38511
LCM(7702,7708) = 29683508

Factors of 7702

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

1, 2, 3851, 7702

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708

Least Common Multiple of 7702 and 7708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7702 and 7708, than apply into the LCM equation.

GCF(7702,7708) = 2
LCM(7702,7708) = ( 7702 × 7708) / 2
LCM(7702,7708) = 59367016 / 2
LCM(7702,7708) = 29683508

Properties of LCM 7702 and 7708

(i) The LCM of 7708 and 7702 is associative

LCM of 7702 and 7708 = LCM of 7708 and 7702

Related Least Common Multiples of 7702

Related Least Common Multiples of 7708

Frequently Asked Questions on LCM of 7702 and 7708

1. What is the LCM of 7702 and 7708?

Answer: LCM of 7702 and 7708 is 29683508.

2. 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.

3. What are the Factors of 7708?

Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.

4. How to Find the LCM of 7702 and 7708?

Answer:

Least Common Multiple of 7702 and 7708 = 29683508

Step 1: Find the prime factorization of 7702

7702 = 2 x 3851

Step 2: Find the prime factorization of 7708

7708 = 2 x 2 x 41 x 47

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

LCM = 29683508 = 2 x 2 x 41 x 47 x 3851

Step 4: Therefore, the least common multiple of 7702 and 7708 is 29683508.