Least Common Multiple of 2708 and 2712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2708 and 2712 the smallest integer that is 1836024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2708 and 2712 is 1836024.

LCM(2708,2712) = 1836024

LCM of 2708 and 2712

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

LCM of:
and

Least Common Multiple of 2708 and 2712

LCM of 2708 and 2712 is 1836024

Least common multiple can be found by multiplying the highest exponent prime factors of 2708 and 2712. First we will calculate the prime factors of 2708 and 2712.

Prime Factorization of 2708


2 2708
2 1354
677 677
1

Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:

2708 = 22×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2708 and 2712.

LCM(2708,2712) = 23×31×1131×6771
LCM(2708,2712) = 1836024

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1, 2, 4, 677, 1354, 2708

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

Least Common Multiple of 2708 and 2712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2708 and 2712, than apply into the LCM equation.

GCF(2708,2712) = 4
LCM(2708,2712) = ( 2708 × 2712) / 4
LCM(2708,2712) = 7344096 / 4
LCM(2708,2712) = 1836024

Properties of LCM 2708 and 2712

(i) The LCM of 2712 and 2708 is associative

LCM of 2708 and 2712 = LCM of 2712 and 2708

Related Least Common Multiples of 2708

Related Least Common Multiples of 2712

Frequently Asked Questions on LCM of 2708 and 2712

1. What is the LCM of 2708 and 2712?

Answer: LCM of 2708 and 2712 is 1836024.

2. What are the Factors of 2708?

Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.

3. 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.

4. How to Find the LCM of 2708 and 2712?

Answer:

Least Common Multiple of 2708 and 2712 = 1836024

Step 1: Find the prime factorization of 2708

2708 = 2 x 2 x 677

Step 2: Find the prime factorization of 2712

2712 = 2 x 2 x 2 x 3 x 113

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

LCM = 1836024 = 2 x 2 x 2 x 3 x 113 x 677

Step 4: Therefore, the least common multiple of 2708 and 2712 is 1836024.