Least Common Multiple of 1733 and 1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1733 and 1740 the smallest integer that is 3015420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1733 and 1740 is 3015420.

LCM(1733,1740) = 3015420

LCM of 1733 and 1740

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

LCM of:
and

Least Common Multiple of 1733 and 1740

LCM of 1733 and 1740 is 3015420

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1740. First we will calculate the prime factors of 1733 and 1740.

Prime Factorization of 1733


1733 1733
1

Prime factors of 1733 are 1733. Prime factorization of 1733 in exponential form is:

1733 = 17331

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2, 3, 5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1740.

LCM(1733,1740) = 22×31×51×291×17331
LCM(1733,1740) = 3015420

Factors of 1733

List of positive integer factors of 1733 that divides 1733 without a remainder.

1, 1733

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740

Least Common Multiple of 1733 and 1740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1733 and 1740, than apply into the LCM equation.

GCF(1733,1740) = 1
LCM(1733,1740) = ( 1733 × 1740) / 1
LCM(1733,1740) = 3015420 / 1
LCM(1733,1740) = 3015420

Properties of LCM 1733 and 1740

(i) The LCM of 1740 and 1733 is associative

LCM of 1733 and 1740 = LCM of 1740 and 1733

Related Least Common Multiples of 1733

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1733 and 1740

1. What is the LCM of 1733 and 1740?

Answer: LCM of 1733 and 1740 is 3015420.

2. What are the Factors of 1733?

Answer: Factors of 1733 are 1, 1733. There are 2 integers that are factors of 1733. The greatest factor of 1733 is 1733.

3. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

4. How to Find the LCM of 1733 and 1740?

Answer:

Least Common Multiple of 1733 and 1740 = 3015420

Step 1: Find the prime factorization of 1733

1733 = 1733

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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

LCM = 3015420 = 2 x 2 x 3 x 5 x 29 x 1733

Step 4: Therefore, the least common multiple of 1733 and 1740 is 3015420.