Least Common Multiple of 2704 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 2704 and 2712 the smallest integer that is 916656 that is divisible by both numbers.

Least Common Multiple (LCM) of 2704 and 2712 is 916656.

LCM(2704,2712) = 916656

LCM of 2704 and 2712

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

LCM of:
and

Least Common Multiple of 2704 and 2712

LCM of 2704 and 2712 is 916656

Least common multiple can be found by multiplying the highest exponent prime factors of 2704 and 2712. First we will calculate the prime factors of 2704 and 2712.

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

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 2704 and 2712.

LCM(2704,2712) = 24×31×132×1131
LCM(2704,2712) = 916656

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704

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 2704 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 2704 and 2712, than apply into the LCM equation.

GCF(2704,2712) = 8
LCM(2704,2712) = ( 2704 × 2712) / 8
LCM(2704,2712) = 7333248 / 8
LCM(2704,2712) = 916656

Properties of LCM 2704 and 2712

(i) The LCM of 2712 and 2704 is associative

LCM of 2704 and 2712 = LCM of 2712 and 2704

Related Least Common Multiples of 2704

Related Least Common Multiples of 2712

Frequently Asked Questions on LCM of 2704 and 2712

1. What is the LCM of 2704 and 2712?

Answer: LCM of 2704 and 2712 is 916656.

2. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

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 2704 and 2712?

Answer:

Least Common Multiple of 2704 and 2712 = 916656

Step 1: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

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 = 916656 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 113

Step 4: Therefore, the least common multiple of 2704 and 2712 is 916656.