Least Common Multiple of 7702 and 7710

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 7710 the smallest integer that is 29691210 that is divisible by both numbers.

Least Common Multiple (LCM) of 7702 and 7710 is 29691210.

LCM(7702,7710) = 29691210

LCM of 7702 and 7710

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

LCM of:
and

Least Common Multiple of 7702 and 7710

LCM of 7702 and 7710 is 29691210

Least common multiple can be found by multiplying the highest exponent prime factors of 7702 and 7710. First we will calculate the prime factors of 7702 and 7710.

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 7710


2 7710
3 3855
5 1285
257 257
1

Prime factors of 7710 are 2, 3, 5,257. Prime factorization of 7710 in exponential form is:

7710 = 21×31×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7702 and 7710.

LCM(7702,7710) = 21×31×51×2571×38511
LCM(7702,7710) = 29691210

Factors of 7702

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

1, 2, 3851, 7702

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710

Least Common Multiple of 7702 and 7710 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 7710, than apply into the LCM equation.

GCF(7702,7710) = 2
LCM(7702,7710) = ( 7702 × 7710) / 2
LCM(7702,7710) = 59382420 / 2
LCM(7702,7710) = 29691210

Properties of LCM 7702 and 7710

(i) The LCM of 7710 and 7702 is associative

LCM of 7702 and 7710 = LCM of 7710 and 7702

Related Least Common Multiples of 7702

Related Least Common Multiples of 7710

Frequently Asked Questions on LCM of 7702 and 7710

1. What is the LCM of 7702 and 7710?

Answer: LCM of 7702 and 7710 is 29691210.

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 7710?

Answer: Factors of 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710. There are 16 integers that are factors of 7710. The greatest factor of 7710 is 7710.

4. How to Find the LCM of 7702 and 7710?

Answer:

Least Common Multiple of 7702 and 7710 = 29691210

Step 1: Find the prime factorization of 7702

7702 = 2 x 3851

Step 2: Find the prime factorization of 7710

7710 = 2 x 3 x 5 x 257

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

LCM = 29691210 = 2 x 3 x 5 x 257 x 3851

Step 4: Therefore, the least common multiple of 7702 and 7710 is 29691210.