Least Common Multiple of 1733 and 1739

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 1739 the smallest integer that is 3013687 that is divisible by both numbers.

Least Common Multiple (LCM) of 1733 and 1739 is 3013687.

LCM(1733,1739) = 3013687

LCM of 1733 and 1739

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

LCM of:
and

Least Common Multiple of 1733 and 1739

LCM of 1733 and 1739 is 3013687

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1739. First we will calculate the prime factors of 1733 and 1739.

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 1739


37 1739
47 47
1

Prime factors of 1739 are 37,47. Prime factorization of 1739 in exponential form is:

1739 = 371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1739.

LCM(1733,1739) = 371×471×17331
LCM(1733,1739) = 3013687

Factors of 1733

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

1, 1733

Factors of 1739

List of positive integer factors of 1739 that divides 1739 without a remainder.

1, 37, 47, 1739

Least Common Multiple of 1733 and 1739 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 1739, than apply into the LCM equation.

GCF(1733,1739) = 1
LCM(1733,1739) = ( 1733 × 1739) / 1
LCM(1733,1739) = 3013687 / 1
LCM(1733,1739) = 3013687

Properties of LCM 1733 and 1739

(i) The LCM of 1739 and 1733 is associative

LCM of 1733 and 1739 = LCM of 1739 and 1733

Related Least Common Multiples of 1733

Related Least Common Multiples of 1739

Frequently Asked Questions on LCM of 1733 and 1739

1. What is the LCM of 1733 and 1739?

Answer: LCM of 1733 and 1739 is 3013687.

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 1739?

Answer: Factors of 1739 are 1, 37, 47, 1739. There are 4 integers that are factors of 1739. The greatest factor of 1739 is 1739.

4. How to Find the LCM of 1733 and 1739?

Answer:

Least Common Multiple of 1733 and 1739 = 3013687

Step 1: Find the prime factorization of 1733

1733 = 1733

Step 2: Find the prime factorization of 1739

1739 = 37 x 47

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

LCM = 3013687 = 37 x 47 x 1733

Step 4: Therefore, the least common multiple of 1733 and 1739 is 3013687.