Least Common Multiple of 1733 and 1736

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 1736 the smallest integer that is 3008488 that is divisible by both numbers.

Least Common Multiple (LCM) of 1733 and 1736 is 3008488.

LCM(1733,1736) = 3008488

LCM of 1733 and 1736

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

LCM of:
and

Least Common Multiple of 1733 and 1736

LCM of 1733 and 1736 is 3008488

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1736. First we will calculate the prime factors of 1733 and 1736.

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 1736


2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 1736 are 2, 7,31. Prime factorization of 1736 in exponential form is:

1736 = 23×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1736.

LCM(1733,1736) = 23×71×311×17331
LCM(1733,1736) = 3008488

Factors of 1733

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

1, 1733

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736

Least Common Multiple of 1733 and 1736 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 1736, than apply into the LCM equation.

GCF(1733,1736) = 1
LCM(1733,1736) = ( 1733 × 1736) / 1
LCM(1733,1736) = 3008488 / 1
LCM(1733,1736) = 3008488

Properties of LCM 1733 and 1736

(i) The LCM of 1736 and 1733 is associative

LCM of 1733 and 1736 = LCM of 1736 and 1733

Related Least Common Multiples of 1733

Related Least Common Multiples of 1736

Frequently Asked Questions on LCM of 1733 and 1736

1. What is the LCM of 1733 and 1736?

Answer: LCM of 1733 and 1736 is 3008488.

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 1736?

Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.

4. How to Find the LCM of 1733 and 1736?

Answer:

Least Common Multiple of 1733 and 1736 = 3008488

Step 1: Find the prime factorization of 1733

1733 = 1733

Step 2: Find the prime factorization of 1736

1736 = 2 x 2 x 2 x 7 x 31

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

LCM = 3008488 = 2 x 2 x 2 x 7 x 31 x 1733

Step 4: Therefore, the least common multiple of 1733 and 1736 is 3008488.