Least Common Multiple of 750 and 754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 750 and 754 the smallest integer that is 282750 that is divisible by both numbers.

Least Common Multiple (LCM) of 750 and 754 is 282750.

LCM(750,754) = 282750

LCM of 750 and 754

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

LCM of:
and

Least Common Multiple of 750 and 754

LCM of 750 and 754 is 282750

Least common multiple can be found by multiplying the highest exponent prime factors of 750 and 754. First we will calculate the prime factors of 750 and 754.

Prime Factorization of 750


2 750
3 375
5 125
5 25
5 5
1

Prime factors of 750 are 2, 3,5. Prime factorization of 750 in exponential form is:

750 = 21×31×53

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 750 and 754.

LCM(750,754) = 21×31×53×131×291
LCM(750,754) = 282750

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Least Common Multiple of 750 and 754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 750 and 754, than apply into the LCM equation.

GCF(750,754) = 2
LCM(750,754) = ( 750 × 754) / 2
LCM(750,754) = 565500 / 2
LCM(750,754) = 282750

Properties of LCM 750 and 754

(i) The LCM of 754 and 750 is associative

LCM of 750 and 754 = LCM of 754 and 750

Related Least Common Multiples of 750

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 750 and 754

1. What is the LCM of 750 and 754?

Answer: LCM of 750 and 754 is 282750.

2. What are the Factors of 750?

Answer: Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. There are 16 integers that are factors of 750. The greatest factor of 750 is 750.

3. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

4. How to Find the LCM of 750 and 754?

Answer:

Least Common Multiple of 750 and 754 = 282750

Step 1: Find the prime factorization of 750

750 = 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 754

754 = 2 x 13 x 29

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

LCM = 282750 = 2 x 3 x 5 x 5 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 750 and 754 is 282750.