Least Common Multiple of 5757 and 5762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5757 and 5762 the smallest integer that is 33171834 that is divisible by both numbers.

Least Common Multiple (LCM) of 5757 and 5762 is 33171834.

LCM(5757,5762) = 33171834

LCM of 5757 and 5762

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

LCM of:
and

Least Common Multiple of 5757 and 5762

LCM of 5757 and 5762 is 33171834

Least common multiple can be found by multiplying the highest exponent prime factors of 5757 and 5762. First we will calculate the prime factors of 5757 and 5762.

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

Prime Factorization of 5762


2 5762
43 2881
67 67
1

Prime factors of 5762 are 2, 43,67. Prime factorization of 5762 in exponential form is:

5762 = 21×431×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5757 and 5762.

LCM(5757,5762) = 21×31×191×431×671×1011
LCM(5757,5762) = 33171834

Factors of 5757

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

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

Factors of 5762

List of positive integer factors of 5762 that divides 5762 without a remainder.

1, 2, 43, 67, 86, 134, 2881, 5762

Least Common Multiple of 5757 and 5762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5757 and 5762, than apply into the LCM equation.

GCF(5757,5762) = 1
LCM(5757,5762) = ( 5757 × 5762) / 1
LCM(5757,5762) = 33171834 / 1
LCM(5757,5762) = 33171834

Properties of LCM 5757 and 5762

(i) The LCM of 5762 and 5757 is associative

LCM of 5757 and 5762 = LCM of 5762 and 5757

Related Least Common Multiples of 5757

Related Least Common Multiples of 5762

Frequently Asked Questions on LCM of 5757 and 5762

1. What is the LCM of 5757 and 5762?

Answer: LCM of 5757 and 5762 is 33171834.

2. 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.

3. What are the Factors of 5762?

Answer: Factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762. There are 8 integers that are factors of 5762. The greatest factor of 5762 is 5762.

4. How to Find the LCM of 5757 and 5762?

Answer:

Least Common Multiple of 5757 and 5762 = 33171834

Step 1: Find the prime factorization of 5757

5757 = 3 x 19 x 101

Step 2: Find the prime factorization of 5762

5762 = 2 x 43 x 67

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

LCM = 33171834 = 2 x 3 x 19 x 43 x 67 x 101

Step 4: Therefore, the least common multiple of 5757 and 5762 is 33171834.