Least Common Multiple of 1732 and 1734

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 1734 the smallest integer that is 1501644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1734 is 1501644.

LCM(1732,1734) = 1501644

LCM of 1732 and 1734

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

LCM of:
and

Least Common Multiple of 1732 and 1734

LCM of 1732 and 1734 is 1501644

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1734. First we will calculate the prime factors of 1732 and 1734.

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 1734


2 1734
3 867
17 289
17 17
1

Prime factors of 1734 are 2, 3,17. Prime factorization of 1734 in exponential form is:

1734 = 21×31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1734.

LCM(1732,1734) = 22×31×172×4331
LCM(1732,1734) = 1501644

Factors of 1732

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

1, 2, 4, 433, 866, 1732

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734

Least Common Multiple of 1732 and 1734 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 1734, than apply into the LCM equation.

GCF(1732,1734) = 2
LCM(1732,1734) = ( 1732 × 1734) / 2
LCM(1732,1734) = 3003288 / 2
LCM(1732,1734) = 1501644

Properties of LCM 1732 and 1734

(i) The LCM of 1734 and 1732 is associative

LCM of 1732 and 1734 = LCM of 1734 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1734

Frequently Asked Questions on LCM of 1732 and 1734

1. What is the LCM of 1732 and 1734?

Answer: LCM of 1732 and 1734 is 1501644.

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 1734?

Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.

4. How to Find the LCM of 1732 and 1734?

Answer:

Least Common Multiple of 1732 and 1734 = 1501644

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1734

1734 = 2 x 3 x 17 x 17

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

LCM = 1501644 = 2 x 2 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 1732 and 1734 is 1501644.