Least Common Multiple of 1733 and 1738

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 1738 the smallest integer that is 3011954 that is divisible by both numbers.

Least Common Multiple (LCM) of 1733 and 1738 is 3011954.

LCM(1733,1738) = 3011954

LCM of 1733 and 1738

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

LCM of:
and

Least Common Multiple of 1733 and 1738

LCM of 1733 and 1738 is 3011954

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1738. First we will calculate the prime factors of 1733 and 1738.

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 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1738.

LCM(1733,1738) = 21×111×791×17331
LCM(1733,1738) = 3011954

Factors of 1733

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

1, 1733

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1, 2, 11, 22, 79, 158, 869, 1738

Least Common Multiple of 1733 and 1738 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 1738, than apply into the LCM equation.

GCF(1733,1738) = 1
LCM(1733,1738) = ( 1733 × 1738) / 1
LCM(1733,1738) = 3011954 / 1
LCM(1733,1738) = 3011954

Properties of LCM 1733 and 1738

(i) The LCM of 1738 and 1733 is associative

LCM of 1733 and 1738 = LCM of 1738 and 1733

Related Least Common Multiples of 1733

Related Least Common Multiples of 1738

Frequently Asked Questions on LCM of 1733 and 1738

1. What is the LCM of 1733 and 1738?

Answer: LCM of 1733 and 1738 is 3011954.

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 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

4. How to Find the LCM of 1733 and 1738?

Answer:

Least Common Multiple of 1733 and 1738 = 3011954

Step 1: Find the prime factorization of 1733

1733 = 1733

Step 2: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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

LCM = 3011954 = 2 x 11 x 79 x 1733

Step 4: Therefore, the least common multiple of 1733 and 1738 is 3011954.