Least Common Multiple of 1733 and 1737

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 1737 the smallest integer that is 3010221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1733 and 1737 is 3010221.

LCM(1733,1737) = 3010221

LCM of 1733 and 1737

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

LCM of:
and

Least Common Multiple of 1733 and 1737

LCM of 1733 and 1737 is 3010221

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1737. First we will calculate the prime factors of 1733 and 1737.

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 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1737.

LCM(1733,1737) = 32×1931×17331
LCM(1733,1737) = 3010221

Factors of 1733

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

1, 1733

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

Least Common Multiple of 1733 and 1737 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 1737, than apply into the LCM equation.

GCF(1733,1737) = 1
LCM(1733,1737) = ( 1733 × 1737) / 1
LCM(1733,1737) = 3010221 / 1
LCM(1733,1737) = 3010221

Properties of LCM 1733 and 1737

(i) The LCM of 1737 and 1733 is associative

LCM of 1733 and 1737 = LCM of 1737 and 1733

Related Least Common Multiples of 1733

Related Least Common Multiples of 1737

Frequently Asked Questions on LCM of 1733 and 1737

1. What is the LCM of 1733 and 1737?

Answer: LCM of 1733 and 1737 is 3010221.

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 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

4. How to Find the LCM of 1733 and 1737?

Answer:

Least Common Multiple of 1733 and 1737 = 3010221

Step 1: Find the prime factorization of 1733

1733 = 1733

Step 2: Find the prime factorization of 1737

1737 = 3 x 3 x 193

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

LCM = 3010221 = 3 x 3 x 193 x 1733

Step 4: Therefore, the least common multiple of 1733 and 1737 is 3010221.