Least Common Multiple of 1736 and 1737

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 1737 the smallest integer that is 3015432 that is divisible by both numbers.

Least Common Multiple (LCM) of 1736 and 1737 is 3015432.

LCM(1736,1737) = 3015432

LCM of 1736 and 1737

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

LCM of:
and

Least Common Multiple of 1736 and 1737

LCM of 1736 and 1737 is 3015432

Least common multiple can be found by multiplying the highest exponent prime factors of 1736 and 1737. First we will calculate the prime factors of 1736 and 1737.

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 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1736 and 1737.

LCM(1736,1737) = 23×32×71×311×1931
LCM(1736,1737) = 3015432

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 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

Least Common Multiple of 1736 and 1737 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 1737, than apply into the LCM equation.

GCF(1736,1737) = 1
LCM(1736,1737) = ( 1736 × 1737) / 1
LCM(1736,1737) = 3015432 / 1
LCM(1736,1737) = 3015432

Properties of LCM 1736 and 1737

(i) The LCM of 1737 and 1736 is associative

LCM of 1736 and 1737 = LCM of 1737 and 1736

Related Least Common Multiples of 1736

Related Least Common Multiples of 1737

Frequently Asked Questions on LCM of 1736 and 1737

1. What is the LCM of 1736 and 1737?

Answer: LCM of 1736 and 1737 is 3015432.

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 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

4. How to Find the LCM of 1736 and 1737?

Answer:

Least Common Multiple of 1736 and 1737 = 3015432

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 1737

1737 = 3 x 3 x 193

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

LCM = 3015432 = 2 x 2 x 2 x 3 x 3 x 7 x 31 x 193

Step 4: Therefore, the least common multiple of 1736 and 1737 is 3015432.