Least Common Multiple of 1734 and 1735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1734 and 1735 the smallest integer that is 3008490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1734 and 1735 is 3008490.

LCM(1734,1735) = 3008490

LCM of 1734 and 1735

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

LCM of:
and

Least Common Multiple of 1734 and 1735

LCM of 1734 and 1735 is 3008490

Least common multiple can be found by multiplying the highest exponent prime factors of 1734 and 1735. First we will calculate the prime factors of 1734 and 1735.

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

Prime Factorization of 1735


5 1735
347 347
1

Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:

1735 = 51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1734 and 1735.

LCM(1734,1735) = 21×31×51×172×3471
LCM(1734,1735) = 3008490

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

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1, 5, 347, 1735

Least Common Multiple of 1734 and 1735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1734 and 1735, than apply into the LCM equation.

GCF(1734,1735) = 1
LCM(1734,1735) = ( 1734 × 1735) / 1
LCM(1734,1735) = 3008490 / 1
LCM(1734,1735) = 3008490

Properties of LCM 1734 and 1735

(i) The LCM of 1735 and 1734 is associative

LCM of 1734 and 1735 = LCM of 1735 and 1734

Related Least Common Multiples of 1734

Related Least Common Multiples of 1735

Frequently Asked Questions on LCM of 1734 and 1735

1. What is the LCM of 1734 and 1735?

Answer: LCM of 1734 and 1735 is 3008490.

2. 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.

3. What are the Factors of 1735?

Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.

4. How to Find the LCM of 1734 and 1735?

Answer:

Least Common Multiple of 1734 and 1735 = 3008490

Step 1: Find the prime factorization of 1734

1734 = 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 1735

1735 = 5 x 347

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

LCM = 3008490 = 2 x 3 x 5 x 17 x 17 x 347

Step 4: Therefore, the least common multiple of 1734 and 1735 is 3008490.