Least Common Multiple of 7712 and 7717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7712 and 7717 the smallest integer that is 59513504 that is divisible by both numbers.

Least Common Multiple (LCM) of 7712 and 7717 is 59513504.

LCM(7712,7717) = 59513504

LCM of 7712 and 7717

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

LCM of:
and

Least Common Multiple of 7712 and 7717

LCM of 7712 and 7717 is 59513504

Least common multiple can be found by multiplying the highest exponent prime factors of 7712 and 7717. First we will calculate the prime factors of 7712 and 7717.

Prime Factorization of 7712


2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 7712 are 2,241. Prime factorization of 7712 in exponential form is:

7712 = 25×2411

Prime Factorization of 7717


7717 7717
1

Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:

7717 = 77171

Now multiplying the highest exponent prime factors to calculate the LCM of 7712 and 7717.

LCM(7712,7717) = 25×2411×77171
LCM(7712,7717) = 59513504

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712

Factors of 7717

List of positive integer factors of 7717 that divides 7717 without a remainder.

1, 7717

Least Common Multiple of 7712 and 7717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7712 and 7717, than apply into the LCM equation.

GCF(7712,7717) = 1
LCM(7712,7717) = ( 7712 × 7717) / 1
LCM(7712,7717) = 59513504 / 1
LCM(7712,7717) = 59513504

Properties of LCM 7712 and 7717

(i) The LCM of 7717 and 7712 is associative

LCM of 7712 and 7717 = LCM of 7717 and 7712

Related Least Common Multiples of 7712

Related Least Common Multiples of 7717

Frequently Asked Questions on LCM of 7712 and 7717

1. What is the LCM of 7712 and 7717?

Answer: LCM of 7712 and 7717 is 59513504.

2. What are the Factors of 7712?

Answer: Factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712. There are 12 integers that are factors of 7712. The greatest factor of 7712 is 7712.

3. What are the Factors of 7717?

Answer: Factors of 7717 are 1, 7717. There are 2 integers that are factors of 7717. The greatest factor of 7717 is 7717.

4. How to Find the LCM of 7712 and 7717?

Answer:

Least Common Multiple of 7712 and 7717 = 59513504

Step 1: Find the prime factorization of 7712

7712 = 2 x 2 x 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 7717

7717 = 7717

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

LCM = 59513504 = 2 x 2 x 2 x 2 x 2 x 241 x 7717

Step 4: Therefore, the least common multiple of 7712 and 7717 is 59513504.