Least Common Multiple of 1738 and 1741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1738 and 1741 the smallest integer that is 3025858 that is divisible by both numbers.

Least Common Multiple (LCM) of 1738 and 1741 is 3025858.

LCM(1738,1741) = 3025858

LCM of 1738 and 1741

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

LCM of:
and

Least Common Multiple of 1738 and 1741

LCM of 1738 and 1741 is 3025858

Least common multiple can be found by multiplying the highest exponent prime factors of 1738 and 1741. First we will calculate the prime factors of 1738 and 1741.

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

Prime Factorization of 1741


1741 1741
1

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 1738 and 1741.

LCM(1738,1741) = 21×111×791×17411
LCM(1738,1741) = 3025858

Factors of 1738

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

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

Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1, 1741

Least Common Multiple of 1738 and 1741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1738 and 1741, than apply into the LCM equation.

GCF(1738,1741) = 1
LCM(1738,1741) = ( 1738 × 1741) / 1
LCM(1738,1741) = 3025858 / 1
LCM(1738,1741) = 3025858

Properties of LCM 1738 and 1741

(i) The LCM of 1741 and 1738 is associative

LCM of 1738 and 1741 = LCM of 1741 and 1738

Related Least Common Multiples of 1738

Related Least Common Multiples of 1741

Frequently Asked Questions on LCM of 1738 and 1741

1. What is the LCM of 1738 and 1741?

Answer: LCM of 1738 and 1741 is 3025858.

2. 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.

3. What are the Factors of 1741?

Answer: Factors of 1741 are 1, 1741. There are 2 integers that are factors of 1741. The greatest factor of 1741 is 1741.

4. How to Find the LCM of 1738 and 1741?

Answer:

Least Common Multiple of 1738 and 1741 = 3025858

Step 1: Find the prime factorization of 1738

1738 = 2 x 11 x 79

Step 2: Find the prime factorization of 1741

1741 = 1741

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

LCM = 3025858 = 2 x 11 x 79 x 1741

Step 4: Therefore, the least common multiple of 1738 and 1741 is 3025858.