Least Common Multiple of 2720 and 2725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2720 and 2725 the smallest integer that is 1482400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2720 and 2725 is 1482400.

LCM(2720,2725) = 1482400

LCM of 2720 and 2725

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

LCM of:
and

Least Common Multiple of 2720 and 2725

LCM of 2720 and 2725 is 1482400

Least common multiple can be found by multiplying the highest exponent prime factors of 2720 and 2725. First we will calculate the prime factors of 2720 and 2725.

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

Prime Factorization of 2725


5 2725
5 545
109 109
1

Prime factors of 2725 are 5,109. Prime factorization of 2725 in exponential form is:

2725 = 52×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2720 and 2725.

LCM(2720,2725) = 25×52×171×1091
LCM(2720,2725) = 1482400

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

Factors of 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1, 5, 25, 109, 545, 2725

Least Common Multiple of 2720 and 2725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2720 and 2725, than apply into the LCM equation.

GCF(2720,2725) = 5
LCM(2720,2725) = ( 2720 × 2725) / 5
LCM(2720,2725) = 7412000 / 5
LCM(2720,2725) = 1482400

Properties of LCM 2720 and 2725

(i) The LCM of 2725 and 2720 is associative

LCM of 2720 and 2725 = LCM of 2725 and 2720

Related Least Common Multiples of 2720

Related Least Common Multiples of 2725

Frequently Asked Questions on LCM of 2720 and 2725

1. What is the LCM of 2720 and 2725?

Answer: LCM of 2720 and 2725 is 1482400.

2. 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.

3. What are the Factors of 2725?

Answer: Factors of 2725 are 1, 5, 25, 109, 545, 2725. There are 6 integers that are factors of 2725. The greatest factor of 2725 is 2725.

4. How to Find the LCM of 2720 and 2725?

Answer:

Least Common Multiple of 2720 and 2725 = 1482400

Step 1: Find the prime factorization of 2720

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

Step 2: Find the prime factorization of 2725

2725 = 5 x 5 x 109

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

LCM = 1482400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 109

Step 4: Therefore, the least common multiple of 2720 and 2725 is 1482400.