Least Common Multiple of 2715 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 2715 and 2720 the smallest integer that is 1476960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2715 and 2720 is 1476960.

LCM(2715,2720) = 1476960

LCM of 2715 and 2720

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

LCM of:
and

Least Common Multiple of 2715 and 2720

LCM of 2715 and 2720 is 1476960

Least common multiple can be found by multiplying the highest exponent prime factors of 2715 and 2720. First we will calculate the prime factors of 2715 and 2720.

Prime Factorization of 2715


3 2715
5 905
181 181
1

Prime factors of 2715 are 3, 5,181. Prime factorization of 2715 in exponential form is:

2715 = 31×51×1811

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 2715 and 2720.

LCM(2715,2720) = 25×31×51×171×1811
LCM(2715,2720) = 1476960

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1, 3, 5, 15, 181, 543, 905, 2715

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 2715 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 2715 and 2720, than apply into the LCM equation.

GCF(2715,2720) = 5
LCM(2715,2720) = ( 2715 × 2720) / 5
LCM(2715,2720) = 7384800 / 5
LCM(2715,2720) = 1476960

Properties of LCM 2715 and 2720

(i) The LCM of 2720 and 2715 is associative

LCM of 2715 and 2720 = LCM of 2720 and 2715

Related Least Common Multiples of 2715

Related Least Common Multiples of 2720

Frequently Asked Questions on LCM of 2715 and 2720

1. What is the LCM of 2715 and 2720?

Answer: LCM of 2715 and 2720 is 1476960.

2. What are the Factors of 2715?

Answer: Factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715. There are 8 integers that are factors of 2715. The greatest factor of 2715 is 2715.

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 2715 and 2720?

Answer:

Least Common Multiple of 2715 and 2720 = 1476960

Step 1: Find the prime factorization of 2715

2715 = 3 x 5 x 181

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 = 1476960 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 181

Step 4: Therefore, the least common multiple of 2715 and 2720 is 1476960.