Least Common Multiple of 743 and 750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 743 and 750 the smallest integer that is 557250 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 750 is 557250.

LCM(743,750) = 557250

LCM of 743 and 750

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

LCM of:
and

Least Common Multiple of 743 and 750

LCM of 743 and 750 is 557250

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 750. First we will calculate the prime factors of 743 and 750.

Prime Factorization of 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 750.

LCM(743,750) = 21×31×53×7431
LCM(743,750) = 557250

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

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

Least Common Multiple of 743 and 750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 743 and 750, than apply into the LCM equation.

GCF(743,750) = 1
LCM(743,750) = ( 743 × 750) / 1
LCM(743,750) = 557250 / 1
LCM(743,750) = 557250

Properties of LCM 743 and 750

(i) The LCM of 750 and 743 is associative

LCM of 743 and 750 = LCM of 750 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 743 and 750

1. What is the LCM of 743 and 750?

Answer: LCM of 743 and 750 is 557250.

2. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

3. 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.

4. How to Find the LCM of 743 and 750?

Answer:

Least Common Multiple of 743 and 750 = 557250

Step 1: Find the prime factorization of 743

743 = 743

Step 2: Find the prime factorization of 750

750 = 2 x 3 x 5 x 5 x 5

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

LCM = 557250 = 2 x 3 x 5 x 5 x 5 x 743

Step 4: Therefore, the least common multiple of 743 and 750 is 557250.