Least Common Multiple of 1720 and 1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1720 and 1725 the smallest integer that is 593400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1720 and 1725 is 593400.

LCM(1720,1725) = 593400

LCM of 1720 and 1725

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

LCM of:
and

Least Common Multiple of 1720 and 1725

LCM of 1720 and 1725 is 593400

Least common multiple can be found by multiplying the highest exponent prime factors of 1720 and 1725. First we will calculate the prime factors of 1720 and 1725.

Prime Factorization of 1720


2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 1720 are 2, 5,43. Prime factorization of 1720 in exponential form is:

1720 = 23×51×431

Prime Factorization of 1725


3 1725
5 575
5 115
23 23
1

Prime factors of 1725 are 3, 5,23. Prime factorization of 1725 in exponential form is:

1725 = 31×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1720 and 1725.

LCM(1720,1725) = 23×31×52×231×431
LCM(1720,1725) = 593400

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725

Least Common Multiple of 1720 and 1725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1720 and 1725, than apply into the LCM equation.

GCF(1720,1725) = 5
LCM(1720,1725) = ( 1720 × 1725) / 5
LCM(1720,1725) = 2967000 / 5
LCM(1720,1725) = 593400

Properties of LCM 1720 and 1725

(i) The LCM of 1725 and 1720 is associative

LCM of 1720 and 1725 = LCM of 1725 and 1720

Related Least Common Multiples of 1720

Related Least Common Multiples of 1725

Frequently Asked Questions on LCM of 1720 and 1725

1. What is the LCM of 1720 and 1725?

Answer: LCM of 1720 and 1725 is 593400.

2. What are the Factors of 1720?

Answer: Factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720. There are 16 integers that are factors of 1720. The greatest factor of 1720 is 1720.

3. What are the Factors of 1725?

Answer: Factors of 1725 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725. There are 12 integers that are factors of 1725. The greatest factor of 1725 is 1725.

4. How to Find the LCM of 1720 and 1725?

Answer:

Least Common Multiple of 1720 and 1725 = 593400

Step 1: Find the prime factorization of 1720

1720 = 2 x 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 1725

1725 = 3 x 5 x 5 x 23

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

LCM = 593400 = 2 x 2 x 2 x 3 x 5 x 5 x 23 x 43

Step 4: Therefore, the least common multiple of 1720 and 1725 is 593400.