Least Common Multiple of 7705 and 7713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7705 and 7713 the smallest integer that is 59428665 that is divisible by both numbers.

Least Common Multiple (LCM) of 7705 and 7713 is 59428665.

LCM(7705,7713) = 59428665

LCM of 7705 and 7713

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

LCM of:
and

Least Common Multiple of 7705 and 7713

LCM of 7705 and 7713 is 59428665

Least common multiple can be found by multiplying the highest exponent prime factors of 7705 and 7713. First we will calculate the prime factors of 7705 and 7713.

Prime Factorization of 7705


5 7705
23 1541
67 67
1

Prime factors of 7705 are 5, 23,67. Prime factorization of 7705 in exponential form is:

7705 = 51×231×671

Prime Factorization of 7713


3 7713
3 2571
857 857
1

Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:

7713 = 32×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 7705 and 7713.

LCM(7705,7713) = 32×51×231×671×8571
LCM(7705,7713) = 59428665

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1, 5, 23, 67, 115, 335, 1541, 7705

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1, 3, 9, 857, 2571, 7713

Least Common Multiple of 7705 and 7713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7705 and 7713, than apply into the LCM equation.

GCF(7705,7713) = 1
LCM(7705,7713) = ( 7705 × 7713) / 1
LCM(7705,7713) = 59428665 / 1
LCM(7705,7713) = 59428665

Properties of LCM 7705 and 7713

(i) The LCM of 7713 and 7705 is associative

LCM of 7705 and 7713 = LCM of 7713 and 7705

Related Least Common Multiples of 7705

Related Least Common Multiples of 7713

Frequently Asked Questions on LCM of 7705 and 7713

1. What is the LCM of 7705 and 7713?

Answer: LCM of 7705 and 7713 is 59428665.

2. What are the Factors of 7705?

Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.

3. What are the Factors of 7713?

Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.

4. How to Find the LCM of 7705 and 7713?

Answer:

Least Common Multiple of 7705 and 7713 = 59428665

Step 1: Find the prime factorization of 7705

7705 = 5 x 23 x 67

Step 2: Find the prime factorization of 7713

7713 = 3 x 3 x 857

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

LCM = 59428665 = 3 x 3 x 5 x 23 x 67 x 857

Step 4: Therefore, the least common multiple of 7705 and 7713 is 59428665.