Least Common Multiple of 2712 and 2720

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 2720 the smallest integer that is 922080 that is divisible by both numbers.

Least Common Multiple (LCM) of 2712 and 2720 is 922080.

LCM(2712,2720) = 922080

LCM of 2712 and 2720

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

LCM of:
and

Least Common Multiple of 2712 and 2720

LCM of 2712 and 2720 is 922080

Least common multiple can be found by multiplying the highest exponent prime factors of 2712 and 2720. First we will calculate the prime factors of 2712 and 2720.

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 2720


2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 2720 are 2, 5,17. Prime factorization of 2720 in exponential form is:

2720 = 25×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2712 and 2720.

LCM(2712,2720) = 25×31×51×171×1131
LCM(2712,2720) = 922080

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 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720

Least Common Multiple of 2712 and 2720 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 2720, than apply into the LCM equation.

GCF(2712,2720) = 8
LCM(2712,2720) = ( 2712 × 2720) / 8
LCM(2712,2720) = 7376640 / 8
LCM(2712,2720) = 922080

Properties of LCM 2712 and 2720

(i) The LCM of 2720 and 2712 is associative

LCM of 2712 and 2720 = LCM of 2720 and 2712

Related Least Common Multiples of 2712

Related Least Common Multiples of 2720

Frequently Asked Questions on LCM of 2712 and 2720

1. What is the LCM of 2712 and 2720?

Answer: LCM of 2712 and 2720 is 922080.

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 2720?

Answer: Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720. There are 24 integers that are factors of 2720. The greatest factor of 2720 is 2720.

4. How to Find the LCM of 2712 and 2720?

Answer:

Least Common Multiple of 2712 and 2720 = 922080

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 2720

2720 = 2 x 2 x 2 x 2 x 2 x 5 x 17

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

LCM = 922080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 113

Step 4: Therefore, the least common multiple of 2712 and 2720 is 922080.