Least Common Multiple of 5749 and 5757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5749 and 5757 the smallest integer that is 33096993 that is divisible by both numbers.

Least Common Multiple (LCM) of 5749 and 5757 is 33096993.

LCM(5749,5757) = 33096993

LCM of 5749 and 5757

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

LCM of:
and

Least Common Multiple of 5749 and 5757

LCM of 5749 and 5757 is 33096993

Least common multiple can be found by multiplying the highest exponent prime factors of 5749 and 5757. First we will calculate the prime factors of 5749 and 5757.

Prime Factorization of 5749


5749 5749
1

Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:

5749 = 57491

Prime Factorization of 5757


3 5757
19 1919
101 101
1

Prime factors of 5757 are 3, 19,101. Prime factorization of 5757 in exponential form is:

5757 = 31×191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5749 and 5757.

LCM(5749,5757) = 31×191×1011×57491
LCM(5749,5757) = 33096993

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1, 5749

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1, 3, 19, 57, 101, 303, 1919, 5757

Least Common Multiple of 5749 and 5757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5749 and 5757, than apply into the LCM equation.

GCF(5749,5757) = 1
LCM(5749,5757) = ( 5749 × 5757) / 1
LCM(5749,5757) = 33096993 / 1
LCM(5749,5757) = 33096993

Properties of LCM 5749 and 5757

(i) The LCM of 5757 and 5749 is associative

LCM of 5749 and 5757 = LCM of 5757 and 5749

Related Least Common Multiples of 5749

Related Least Common Multiples of 5757

Frequently Asked Questions on LCM of 5749 and 5757

1. What is the LCM of 5749 and 5757?

Answer: LCM of 5749 and 5757 is 33096993.

2. What are the Factors of 5749?

Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.

3. What are the Factors of 5757?

Answer: Factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757. There are 8 integers that are factors of 5757. The greatest factor of 5757 is 5757.

4. How to Find the LCM of 5749 and 5757?

Answer:

Least Common Multiple of 5749 and 5757 = 33096993

Step 1: Find the prime factorization of 5749

5749 = 5749

Step 2: Find the prime factorization of 5757

5757 = 3 x 19 x 101

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

LCM = 33096993 = 3 x 19 x 101 x 5749

Step 4: Therefore, the least common multiple of 5749 and 5757 is 33096993.