Least Common Multiple of 745 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 745 and 750 the smallest integer that is 111750 that is divisible by both numbers.

Least Common Multiple (LCM) of 745 and 750 is 111750.

LCM(745,750) = 111750

LCM of 745 and 750

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

LCM of:
and

Least Common Multiple of 745 and 750

LCM of 745 and 750 is 111750

Least common multiple can be found by multiplying the highest exponent prime factors of 745 and 750. First we will calculate the prime factors of 745 and 750.

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

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 745 and 750.

LCM(745,750) = 21×31×53×1491
LCM(745,750) = 111750

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 745 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 745 and 750, than apply into the LCM equation.

GCF(745,750) = 5
LCM(745,750) = ( 745 × 750) / 5
LCM(745,750) = 558750 / 5
LCM(745,750) = 111750

Properties of LCM 745 and 750

(i) The LCM of 750 and 745 is associative

LCM of 745 and 750 = LCM of 750 and 745

Related Least Common Multiples of 745

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 745 and 750

1. What is the LCM of 745 and 750?

Answer: LCM of 745 and 750 is 111750.

2. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

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 745 and 750?

Answer:

Least Common Multiple of 745 and 750 = 111750

Step 1: Find the prime factorization of 745

745 = 5 x 149

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 = 111750 = 2 x 3 x 5 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 745 and 750 is 111750.