Least Common Multiple of 7702 and 7709

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 7709 the smallest integer that is 59374718 that is divisible by both numbers.

Least Common Multiple (LCM) of 7702 and 7709 is 59374718.

LCM(7702,7709) = 59374718

LCM of 7702 and 7709

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

LCM of:
and

Least Common Multiple of 7702 and 7709

LCM of 7702 and 7709 is 59374718

Least common multiple can be found by multiplying the highest exponent prime factors of 7702 and 7709. First we will calculate the prime factors of 7702 and 7709.

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 7709


13 7709
593 593
1

Prime factors of 7709 are 13,593. Prime factorization of 7709 in exponential form is:

7709 = 131×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 7702 and 7709.

LCM(7702,7709) = 21×131×5931×38511
LCM(7702,7709) = 59374718

Factors of 7702

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

1, 2, 3851, 7702

Factors of 7709

List of positive integer factors of 7709 that divides 7709 without a remainder.

1, 13, 593, 7709

Least Common Multiple of 7702 and 7709 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 7709, than apply into the LCM equation.

GCF(7702,7709) = 1
LCM(7702,7709) = ( 7702 × 7709) / 1
LCM(7702,7709) = 59374718 / 1
LCM(7702,7709) = 59374718

Properties of LCM 7702 and 7709

(i) The LCM of 7709 and 7702 is associative

LCM of 7702 and 7709 = LCM of 7709 and 7702

Related Least Common Multiples of 7702

Related Least Common Multiples of 7709

Frequently Asked Questions on LCM of 7702 and 7709

1. What is the LCM of 7702 and 7709?

Answer: LCM of 7702 and 7709 is 59374718.

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 7709?

Answer: Factors of 7709 are 1, 13, 593, 7709. There are 4 integers that are factors of 7709. The greatest factor of 7709 is 7709.

4. How to Find the LCM of 7702 and 7709?

Answer:

Least Common Multiple of 7702 and 7709 = 59374718

Step 1: Find the prime factorization of 7702

7702 = 2 x 3851

Step 2: Find the prime factorization of 7709

7709 = 13 x 593

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

LCM = 59374718 = 2 x 13 x 593 x 3851

Step 4: Therefore, the least common multiple of 7702 and 7709 is 59374718.