Least Common Multiple of 1715 and 1720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1715 and 1720 the smallest integer that is 589960 that is divisible by both numbers.

Least Common Multiple (LCM) of 1715 and 1720 is 589960.

LCM(1715,1720) = 589960

LCM of 1715 and 1720

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

LCM of:
and

Least Common Multiple of 1715 and 1720

LCM of 1715 and 1720 is 589960

Least common multiple can be found by multiplying the highest exponent prime factors of 1715 and 1720. First we will calculate the prime factors of 1715 and 1720.

Prime Factorization of 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1715 and 1720.

LCM(1715,1720) = 23×51×73×431
LCM(1715,1720) = 589960

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715

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

Least Common Multiple of 1715 and 1720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1715 and 1720, than apply into the LCM equation.

GCF(1715,1720) = 5
LCM(1715,1720) = ( 1715 × 1720) / 5
LCM(1715,1720) = 2949800 / 5
LCM(1715,1720) = 589960

Properties of LCM 1715 and 1720

(i) The LCM of 1720 and 1715 is associative

LCM of 1715 and 1720 = LCM of 1720 and 1715

Related Least Common Multiples of 1715

Related Least Common Multiples of 1720

Frequently Asked Questions on LCM of 1715 and 1720

1. What is the LCM of 1715 and 1720?

Answer: LCM of 1715 and 1720 is 589960.

2. What are the Factors of 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

3. 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.

4. How to Find the LCM of 1715 and 1720?

Answer:

Least Common Multiple of 1715 and 1720 = 589960

Step 1: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 1720

1720 = 2 x 2 x 2 x 5 x 43

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

LCM = 589960 = 2 x 2 x 2 x 5 x 7 x 7 x 7 x 43

Step 4: Therefore, the least common multiple of 1715 and 1720 is 589960.