Least Common Multiple of 5750 and 5754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5750 and 5754 the smallest integer that is 16542750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5750 and 5754 is 16542750.

LCM(5750,5754) = 16542750

LCM of 5750 and 5754

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

LCM of:
and

Least Common Multiple of 5750 and 5754

LCM of 5750 and 5754 is 16542750

Least common multiple can be found by multiplying the highest exponent prime factors of 5750 and 5754. First we will calculate the prime factors of 5750 and 5754.

Prime Factorization of 5750


2 5750
5 2875
5 575
5 115
23 23
1

Prime factors of 5750 are 2, 5,23. Prime factorization of 5750 in exponential form is:

5750 = 21×53×231

Prime Factorization of 5754


2 5754
3 2877
7 959
137 137
1

Prime factors of 5754 are 2, 3, 7,137. Prime factorization of 5754 in exponential form is:

5754 = 21×31×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5750 and 5754.

LCM(5750,5754) = 21×31×53×71×231×1371
LCM(5750,5754) = 16542750

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754

Least Common Multiple of 5750 and 5754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5750 and 5754, than apply into the LCM equation.

GCF(5750,5754) = 2
LCM(5750,5754) = ( 5750 × 5754) / 2
LCM(5750,5754) = 33085500 / 2
LCM(5750,5754) = 16542750

Properties of LCM 5750 and 5754

(i) The LCM of 5754 and 5750 is associative

LCM of 5750 and 5754 = LCM of 5754 and 5750

Related Least Common Multiples of 5750

Related Least Common Multiples of 5754

Frequently Asked Questions on LCM of 5750 and 5754

1. What is the LCM of 5750 and 5754?

Answer: LCM of 5750 and 5754 is 16542750.

2. What are the Factors of 5750?

Answer: Factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750. There are 16 integers that are factors of 5750. The greatest factor of 5750 is 5750.

3. What are the Factors of 5754?

Answer: Factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754. There are 16 integers that are factors of 5754. The greatest factor of 5754 is 5754.

4. How to Find the LCM of 5750 and 5754?

Answer:

Least Common Multiple of 5750 and 5754 = 16542750

Step 1: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

Step 2: Find the prime factorization of 5754

5754 = 2 x 3 x 7 x 137

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

LCM = 16542750 = 2 x 3 x 5 x 5 x 5 x 7 x 23 x 137

Step 4: Therefore, the least common multiple of 5750 and 5754 is 16542750.