Least Common Multiple of 1736 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 1736 and 1741 the smallest integer that is 3022376 that is divisible by both numbers.

Least Common Multiple (LCM) of 1736 and 1741 is 3022376.

LCM(1736,1741) = 3022376

LCM of 1736 and 1741

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

LCM of:
and

Least Common Multiple of 1736 and 1741

LCM of 1736 and 1741 is 3022376

Least common multiple can be found by multiplying the highest exponent prime factors of 1736 and 1741. First we will calculate the prime factors of 1736 and 1741.

Prime Factorization of 1736


2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 1736 are 2, 7,31. Prime factorization of 1736 in exponential form is:

1736 = 23×71×311

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 1736 and 1741.

LCM(1736,1741) = 23×71×311×17411
LCM(1736,1741) = 3022376

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736

Factors of 1741

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

1, 1741

Least Common Multiple of 1736 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 1736 and 1741, than apply into the LCM equation.

GCF(1736,1741) = 1
LCM(1736,1741) = ( 1736 × 1741) / 1
LCM(1736,1741) = 3022376 / 1
LCM(1736,1741) = 3022376

Properties of LCM 1736 and 1741

(i) The LCM of 1741 and 1736 is associative

LCM of 1736 and 1741 = LCM of 1741 and 1736

Related Least Common Multiples of 1736

Related Least Common Multiples of 1741

Frequently Asked Questions on LCM of 1736 and 1741

1. What is the LCM of 1736 and 1741?

Answer: LCM of 1736 and 1741 is 3022376.

2. What are the Factors of 1736?

Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.

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 1736 and 1741?

Answer:

Least Common Multiple of 1736 and 1741 = 3022376

Step 1: Find the prime factorization of 1736

1736 = 2 x 2 x 2 x 7 x 31

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 = 3022376 = 2 x 2 x 2 x 7 x 31 x 1741

Step 4: Therefore, the least common multiple of 1736 and 1741 is 3022376.