Least Common Multiple of 1729 and 1732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1729 and 1732 the smallest integer that is 2994628 that is divisible by both numbers.

Least Common Multiple (LCM) of 1729 and 1732 is 2994628.

LCM(1729,1732) = 2994628

LCM of 1729 and 1732

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

LCM of:
and

Least Common Multiple of 1729 and 1732

LCM of 1729 and 1732 is 2994628

Least common multiple can be found by multiplying the highest exponent prime factors of 1729 and 1732. First we will calculate the prime factors of 1729 and 1732.

Prime Factorization of 1729


7 1729
13 247
19 19
1

Prime factors of 1729 are 7, 13,19. Prime factorization of 1729 in exponential form is:

1729 = 71×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1729 and 1732.

LCM(1729,1732) = 22×71×131×191×4331
LCM(1729,1732) = 2994628

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1, 7, 13, 19, 91, 133, 247, 1729

Factors of 1732

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

1, 2, 4, 433, 866, 1732

Least Common Multiple of 1729 and 1732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1729 and 1732, than apply into the LCM equation.

GCF(1729,1732) = 1
LCM(1729,1732) = ( 1729 × 1732) / 1
LCM(1729,1732) = 2994628 / 1
LCM(1729,1732) = 2994628

Properties of LCM 1729 and 1732

(i) The LCM of 1732 and 1729 is associative

LCM of 1729 and 1732 = LCM of 1732 and 1729

Related Least Common Multiples of 1729

Related Least Common Multiples of 1732

Frequently Asked Questions on LCM of 1729 and 1732

1. What is the LCM of 1729 and 1732?

Answer: LCM of 1729 and 1732 is 2994628.

2. What are the Factors of 1729?

Answer: Factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. There are 8 integers that are factors of 1729. The greatest factor of 1729 is 1729.

3. 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.

4. How to Find the LCM of 1729 and 1732?

Answer:

Least Common Multiple of 1729 and 1732 = 2994628

Step 1: Find the prime factorization of 1729

1729 = 7 x 13 x 19

Step 2: Find the prime factorization of 1732

1732 = 2 x 2 x 433

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

LCM = 2994628 = 2 x 2 x 7 x 13 x 19 x 433

Step 4: Therefore, the least common multiple of 1729 and 1732 is 2994628.