Least Common Multiple of 750 and 753

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 753 the smallest integer that is 188250 that is divisible by both numbers.

Least Common Multiple (LCM) of 750 and 753 is 188250.

LCM(750,753) = 188250

LCM of 750 and 753

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

LCM of:
and

Least Common Multiple of 750 and 753

LCM of 750 and 753 is 188250

Least common multiple can be found by multiplying the highest exponent prime factors of 750 and 753. First we will calculate the prime factors of 750 and 753.

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 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 750 and 753.

LCM(750,753) = 21×31×53×2511
LCM(750,753) = 188250

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 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Least Common Multiple of 750 and 753 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 753, than apply into the LCM equation.

GCF(750,753) = 3
LCM(750,753) = ( 750 × 753) / 3
LCM(750,753) = 564750 / 3
LCM(750,753) = 188250

Properties of LCM 750 and 753

(i) The LCM of 753 and 750 is associative

LCM of 750 and 753 = LCM of 753 and 750

Related Least Common Multiples of 750

Related Least Common Multiples of 753

Frequently Asked Questions on LCM of 750 and 753

1. What is the LCM of 750 and 753?

Answer: LCM of 750 and 753 is 188250.

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 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the LCM of 750 and 753?

Answer:

Least Common Multiple of 750 and 753 = 188250

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 753

753 = 3 x 251

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

LCM = 188250 = 2 x 3 x 5 x 5 x 5 x 251

Step 4: Therefore, the least common multiple of 750 and 753 is 188250.