Least Common Multiple of 750 and 755

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 755 the smallest integer that is 113250 that is divisible by both numbers.

Least Common Multiple (LCM) of 750 and 755 is 113250.

LCM(750,755) = 113250

LCM of 750 and 755

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

LCM of:
and

Least Common Multiple of 750 and 755

LCM of 750 and 755 is 113250

Least common multiple can be found by multiplying the highest exponent prime factors of 750 and 755. First we will calculate the prime factors of 750 and 755.

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 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 750 and 755.

LCM(750,755) = 21×31×53×1511
LCM(750,755) = 113250

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 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Least Common Multiple of 750 and 755 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 755, than apply into the LCM equation.

GCF(750,755) = 5
LCM(750,755) = ( 750 × 755) / 5
LCM(750,755) = 566250 / 5
LCM(750,755) = 113250

Properties of LCM 750 and 755

(i) The LCM of 755 and 750 is associative

LCM of 750 and 755 = LCM of 755 and 750

Related Least Common Multiples of 750

Related Least Common Multiples of 755

Frequently Asked Questions on LCM of 750 and 755

1. What is the LCM of 750 and 755?

Answer: LCM of 750 and 755 is 113250.

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 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

4. How to Find the LCM of 750 and 755?

Answer:

Least Common Multiple of 750 and 755 = 113250

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 755

755 = 5 x 151

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

LCM = 113250 = 2 x 3 x 5 x 5 x 5 x 151

Step 4: Therefore, the least common multiple of 750 and 755 is 113250.