Least Common Multiple of 1732 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 1732 and 1739 the smallest integer that is 3011948 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1739 is 3011948.

LCM(1732,1739) = 3011948

LCM of 1732 and 1739

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

LCM of:
and

Least Common Multiple of 1732 and 1739

LCM of 1732 and 1739 is 3011948

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1739. First we will calculate the prime factors of 1732 and 1739.

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 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 1732 and 1739.

LCM(1732,1739) = 22×371×471×4331
LCM(1732,1739) = 3011948

Factors of 1732

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

1, 2, 4, 433, 866, 1732

Factors of 1739

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

1, 37, 47, 1739

Least Common Multiple of 1732 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 1732 and 1739, than apply into the LCM equation.

GCF(1732,1739) = 1
LCM(1732,1739) = ( 1732 × 1739) / 1
LCM(1732,1739) = 3011948 / 1
LCM(1732,1739) = 3011948

Properties of LCM 1732 and 1739

(i) The LCM of 1739 and 1732 is associative

LCM of 1732 and 1739 = LCM of 1739 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1739

Frequently Asked Questions on LCM of 1732 and 1739

1. What is the LCM of 1732 and 1739?

Answer: LCM of 1732 and 1739 is 3011948.

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 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 1732 and 1739?

Answer:

Least Common Multiple of 1732 and 1739 = 3011948

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

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 = 3011948 = 2 x 2 x 37 x 47 x 433

Step 4: Therefore, the least common multiple of 1732 and 1739 is 3011948.