Least Common Multiple of 5755 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 5755 and 5762 the smallest integer that is 33160310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5755 and 5762 is 33160310.

LCM(5755,5762) = 33160310

LCM of 5755 and 5762

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

LCM of:
and

Least Common Multiple of 5755 and 5762

LCM of 5755 and 5762 is 33160310

Least common multiple can be found by multiplying the highest exponent prime factors of 5755 and 5762. First we will calculate the prime factors of 5755 and 5762.

Prime Factorization of 5755


5 5755
1151 1151
1

Prime factors of 5755 are 5,1151. Prime factorization of 5755 in exponential form is:

5755 = 51×11511

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 5755 and 5762.

LCM(5755,5762) = 21×51×431×671×11511
LCM(5755,5762) = 33160310

Factors of 5755

List of positive integer factors of 5755 that divides 5755 without a remainder.

1, 5, 1151, 5755

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 5755 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 5755 and 5762, than apply into the LCM equation.

GCF(5755,5762) = 1
LCM(5755,5762) = ( 5755 × 5762) / 1
LCM(5755,5762) = 33160310 / 1
LCM(5755,5762) = 33160310

Properties of LCM 5755 and 5762

(i) The LCM of 5762 and 5755 is associative

LCM of 5755 and 5762 = LCM of 5762 and 5755

Related Least Common Multiples of 5755

Related Least Common Multiples of 5762

Frequently Asked Questions on LCM of 5755 and 5762

1. What is the LCM of 5755 and 5762?

Answer: LCM of 5755 and 5762 is 33160310.

2. What are the Factors of 5755?

Answer: Factors of 5755 are 1, 5, 1151, 5755. There are 4 integers that are factors of 5755. The greatest factor of 5755 is 5755.

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 5755 and 5762?

Answer:

Least Common Multiple of 5755 and 5762 = 33160310

Step 1: Find the prime factorization of 5755

5755 = 5 x 1151

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 = 33160310 = 2 x 5 x 43 x 67 x 1151

Step 4: Therefore, the least common multiple of 5755 and 5762 is 33160310.