Least Common Multiple of 5735 and 5737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5735 and 5737 the smallest integer that is 32901695 that is divisible by both numbers.

Least Common Multiple (LCM) of 5735 and 5737 is 32901695.

LCM(5735,5737) = 32901695

LCM of 5735 and 5737

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

LCM of:
and

Least Common Multiple of 5735 and 5737

LCM of 5735 and 5737 is 32901695

Least common multiple can be found by multiplying the highest exponent prime factors of 5735 and 5737. First we will calculate the prime factors of 5735 and 5737.

Prime Factorization of 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

Prime Factorization of 5737


5737 5737
1

Prime factors of 5737 are 5737. Prime factorization of 5737 in exponential form is:

5737 = 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 5735 and 5737.

LCM(5735,5737) = 51×311×371×57371
LCM(5735,5737) = 32901695

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1, 5, 31, 37, 155, 185, 1147, 5735

Factors of 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1, 5737

Least Common Multiple of 5735 and 5737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5735 and 5737, than apply into the LCM equation.

GCF(5735,5737) = 1
LCM(5735,5737) = ( 5735 × 5737) / 1
LCM(5735,5737) = 32901695 / 1
LCM(5735,5737) = 32901695

Properties of LCM 5735 and 5737

(i) The LCM of 5737 and 5735 is associative

LCM of 5735 and 5737 = LCM of 5737 and 5735

Related Least Common Multiples of 5735

Related Least Common Multiples of 5737

Frequently Asked Questions on LCM of 5735 and 5737

1. What is the LCM of 5735 and 5737?

Answer: LCM of 5735 and 5737 is 32901695.

2. What are the Factors of 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

3. What are the Factors of 5737?

Answer: Factors of 5737 are 1, 5737. There are 2 integers that are factors of 5737. The greatest factor of 5737 is 5737.

4. How to Find the LCM of 5735 and 5737?

Answer:

Least Common Multiple of 5735 and 5737 = 32901695

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

Step 2: Find the prime factorization of 5737

5737 = 5737

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

LCM = 32901695 = 5 x 31 x 37 x 5737

Step 4: Therefore, the least common multiple of 5735 and 5737 is 32901695.