Least Common Multiple of 2712 and 2717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2712 and 2717 the smallest integer that is 7368504 that is divisible by both numbers.

Least Common Multiple (LCM) of 2712 and 2717 is 7368504.

LCM(2712,2717) = 7368504

LCM of 2712 and 2717

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

LCM of:
and

Least Common Multiple of 2712 and 2717

LCM of 2712 and 2717 is 7368504

Least common multiple can be found by multiplying the highest exponent prime factors of 2712 and 2717. First we will calculate the prime factors of 2712 and 2717.

Prime Factorization of 2712


2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 2712 are 2, 3,113. Prime factorization of 2712 in exponential form is:

2712 = 23×31×1131

Prime Factorization of 2717


11 2717
13 247
19 19
1

Prime factors of 2717 are 11, 13,19. Prime factorization of 2717 in exponential form is:

2717 = 111×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2712 and 2717.

LCM(2712,2717) = 23×31×111×131×191×1131
LCM(2712,2717) = 7368504

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1, 11, 13, 19, 143, 209, 247, 2717

Least Common Multiple of 2712 and 2717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2712 and 2717, than apply into the LCM equation.

GCF(2712,2717) = 1
LCM(2712,2717) = ( 2712 × 2717) / 1
LCM(2712,2717) = 7368504 / 1
LCM(2712,2717) = 7368504

Properties of LCM 2712 and 2717

(i) The LCM of 2717 and 2712 is associative

LCM of 2712 and 2717 = LCM of 2717 and 2712

Related Least Common Multiples of 2712

Related Least Common Multiples of 2717

Frequently Asked Questions on LCM of 2712 and 2717

1. What is the LCM of 2712 and 2717?

Answer: LCM of 2712 and 2717 is 7368504.

2. What are the Factors of 2712?

Answer: Factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712. There are 16 integers that are factors of 2712. The greatest factor of 2712 is 2712.

3. What are the Factors of 2717?

Answer: Factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717. There are 8 integers that are factors of 2717. The greatest factor of 2717 is 2717.

4. How to Find the LCM of 2712 and 2717?

Answer:

Least Common Multiple of 2712 and 2717 = 7368504

Step 1: Find the prime factorization of 2712

2712 = 2 x 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 2717

2717 = 11 x 13 x 19

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

LCM = 7368504 = 2 x 2 x 2 x 3 x 11 x 13 x 19 x 113

Step 4: Therefore, the least common multiple of 2712 and 2717 is 7368504.