Least Common Multiple of 1719 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 1719 and 1725 the smallest integer that is 988425 that is divisible by both numbers.

Least Common Multiple (LCM) of 1719 and 1725 is 988425.

LCM(1719,1725) = 988425

LCM of 1719 and 1725

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

LCM of:
and

Least Common Multiple of 1719 and 1725

LCM of 1719 and 1725 is 988425

Least common multiple can be found by multiplying the highest exponent prime factors of 1719 and 1725. First we will calculate the prime factors of 1719 and 1725.

Prime Factorization of 1719


3 1719
3 573
191 191
1

Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:

1719 = 32×1911

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 1719 and 1725.

LCM(1719,1725) = 32×52×231×1911
LCM(1719,1725) = 988425

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1, 3, 9, 191, 573, 1719

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 1719 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 1719 and 1725, than apply into the LCM equation.

GCF(1719,1725) = 3
LCM(1719,1725) = ( 1719 × 1725) / 3
LCM(1719,1725) = 2965275 / 3
LCM(1719,1725) = 988425

Properties of LCM 1719 and 1725

(i) The LCM of 1725 and 1719 is associative

LCM of 1719 and 1725 = LCM of 1725 and 1719

Related Least Common Multiples of 1719

Related Least Common Multiples of 1725

Frequently Asked Questions on LCM of 1719 and 1725

1. What is the LCM of 1719 and 1725?

Answer: LCM of 1719 and 1725 is 988425.

2. What are the Factors of 1719?

Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.

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 1719 and 1725?

Answer:

Least Common Multiple of 1719 and 1725 = 988425

Step 1: Find the prime factorization of 1719

1719 = 3 x 3 x 191

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 = 988425 = 3 x 3 x 5 x 5 x 23 x 191

Step 4: Therefore, the least common multiple of 1719 and 1725 is 988425.