Least Common Multiple of 1735 and 1738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1735 and 1738 the smallest integer that is 3015430 that is divisible by both numbers.

Least Common Multiple (LCM) of 1735 and 1738 is 3015430.

LCM(1735,1738) = 3015430

LCM of 1735 and 1738

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

LCM of:
and

Least Common Multiple of 1735 and 1738

LCM of 1735 and 1738 is 3015430

Least common multiple can be found by multiplying the highest exponent prime factors of 1735 and 1738. First we will calculate the prime factors of 1735 and 1738.

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

Prime Factorization of 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1735 and 1738.

LCM(1735,1738) = 21×51×111×791×3471
LCM(1735,1738) = 3015430

Factors of 1735

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

1, 5, 347, 1735

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1, 2, 11, 22, 79, 158, 869, 1738

Least Common Multiple of 1735 and 1738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1735 and 1738, than apply into the LCM equation.

GCF(1735,1738) = 1
LCM(1735,1738) = ( 1735 × 1738) / 1
LCM(1735,1738) = 3015430 / 1
LCM(1735,1738) = 3015430

Properties of LCM 1735 and 1738

(i) The LCM of 1738 and 1735 is associative

LCM of 1735 and 1738 = LCM of 1738 and 1735

Related Least Common Multiples of 1735

Related Least Common Multiples of 1738

Frequently Asked Questions on LCM of 1735 and 1738

1. What is the LCM of 1735 and 1738?

Answer: LCM of 1735 and 1738 is 3015430.

2. 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.

3. What are the Factors of 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

4. How to Find the LCM of 1735 and 1738?

Answer:

Least Common Multiple of 1735 and 1738 = 3015430

Step 1: Find the prime factorization of 1735

1735 = 5 x 347

Step 2: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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

LCM = 3015430 = 2 x 5 x 11 x 79 x 347

Step 4: Therefore, the least common multiple of 1735 and 1738 is 3015430.