Least Common Multiple of 2710 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 2710 and 2712 the smallest integer that is 3674760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2710 and 2712 is 3674760.

LCM(2710,2712) = 3674760

LCM of 2710 and 2712

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

LCM of:
and

Least Common Multiple of 2710 and 2712

LCM of 2710 and 2712 is 3674760

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2712. First we will calculate the prime factors of 2710 and 2712.

Prime Factorization of 2710


2 2710
5 1355
271 271
1

Prime factors of 2710 are 2, 5,271. Prime factorization of 2710 in exponential form is:

2710 = 21×51×2711

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 2710 and 2712.

LCM(2710,2712) = 23×31×51×1131×2711
LCM(2710,2712) = 3674760

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1, 2, 5, 10, 271, 542, 1355, 2710

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 2710 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 2710 and 2712, than apply into the LCM equation.

GCF(2710,2712) = 2
LCM(2710,2712) = ( 2710 × 2712) / 2
LCM(2710,2712) = 7349520 / 2
LCM(2710,2712) = 3674760

Properties of LCM 2710 and 2712

(i) The LCM of 2712 and 2710 is associative

LCM of 2710 and 2712 = LCM of 2712 and 2710

Related Least Common Multiples of 2710

Related Least Common Multiples of 2712

Frequently Asked Questions on LCM of 2710 and 2712

1. What is the LCM of 2710 and 2712?

Answer: LCM of 2710 and 2712 is 3674760.

2. What are the Factors of 2710?

Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.

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 2710 and 2712?

Answer:

Least Common Multiple of 2710 and 2712 = 3674760

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

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 = 3674760 = 2 x 2 x 2 x 3 x 5 x 113 x 271

Step 4: Therefore, the least common multiple of 2710 and 2712 is 3674760.