Least Common Multiple of 1724 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 1724 and 1732 the smallest integer that is 746492 that is divisible by both numbers.

Least Common Multiple (LCM) of 1724 and 1732 is 746492.

LCM(1724,1732) = 746492

LCM of 1724 and 1732

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

LCM of:
and

Least Common Multiple of 1724 and 1732

LCM of 1724 and 1732 is 746492

Least common multiple can be found by multiplying the highest exponent prime factors of 1724 and 1732. First we will calculate the prime factors of 1724 and 1732.

Prime Factorization of 1724


2 1724
2 862
431 431
1

Prime factors of 1724 are 2,431. Prime factorization of 1724 in exponential form is:

1724 = 22×4311

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 1724 and 1732.

LCM(1724,1732) = 22×4311×4331
LCM(1724,1732) = 746492

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1, 2, 4, 431, 862, 1724

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 1724 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 1724 and 1732, than apply into the LCM equation.

GCF(1724,1732) = 4
LCM(1724,1732) = ( 1724 × 1732) / 4
LCM(1724,1732) = 2985968 / 4
LCM(1724,1732) = 746492

Properties of LCM 1724 and 1732

(i) The LCM of 1732 and 1724 is associative

LCM of 1724 and 1732 = LCM of 1732 and 1724

Related Least Common Multiples of 1724

Related Least Common Multiples of 1732

Frequently Asked Questions on LCM of 1724 and 1732

1. What is the LCM of 1724 and 1732?

Answer: LCM of 1724 and 1732 is 746492.

2. What are the Factors of 1724?

Answer: Factors of 1724 are 1, 2, 4, 431, 862, 1724. There are 6 integers that are factors of 1724. The greatest factor of 1724 is 1724.

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 1724 and 1732?

Answer:

Least Common Multiple of 1724 and 1732 = 746492

Step 1: Find the prime factorization of 1724

1724 = 2 x 2 x 431

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 = 746492 = 2 x 2 x 431 x 433

Step 4: Therefore, the least common multiple of 1724 and 1732 is 746492.