Least Common Multiple of 1732 and 1733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1732 and 1733 the smallest integer that is 3001556 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1733 is 3001556.

LCM(1732,1733) = 3001556

LCM of 1732 and 1733

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

LCM of:
and

Least Common Multiple of 1732 and 1733

LCM of 1732 and 1733 is 3001556

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1733. First we will calculate the prime factors of 1732 and 1733.

Prime Factorization of 1732


2 1732
2 866
433 433
1

Prime factors of 1732 are 2,433. Prime factorization of 1732 in exponential form is:

1732 = 22×4331

Prime Factorization of 1733


1733 1733
1

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

1733 = 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1733.

LCM(1732,1733) = 22×4331×17331
LCM(1732,1733) = 3001556

Factors of 1732

List of positive integer factors of 1732 that divides 1732 without a remainder.

1, 2, 4, 433, 866, 1732

Factors of 1733

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

1, 1733

Least Common Multiple of 1732 and 1733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1732 and 1733, than apply into the LCM equation.

GCF(1732,1733) = 1
LCM(1732,1733) = ( 1732 × 1733) / 1
LCM(1732,1733) = 3001556 / 1
LCM(1732,1733) = 3001556

Properties of LCM 1732 and 1733

(i) The LCM of 1733 and 1732 is associative

LCM of 1732 and 1733 = LCM of 1733 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1733

Frequently Asked Questions on LCM of 1732 and 1733

1. What is the LCM of 1732 and 1733?

Answer: LCM of 1732 and 1733 is 3001556.

2. What are the Factors of 1732?

Answer: Factors of 1732 are 1, 2, 4, 433, 866, 1732. There are 6 integers that are factors of 1732. The greatest factor of 1732 is 1732.

3. 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.

4. How to Find the LCM of 1732 and 1733?

Answer:

Least Common Multiple of 1732 and 1733 = 3001556

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1733

1733 = 1733

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

LCM = 3001556 = 2 x 2 x 433 x 1733

Step 4: Therefore, the least common multiple of 1732 and 1733 is 3001556.