Least Common Multiple of 751 and 752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 751 and 752 the smallest integer that is 564752 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 752 is 564752.

LCM(751,752) = 564752

LCM of 751 and 752

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

LCM of:
and

Least Common Multiple of 751 and 752

LCM of 751 and 752 is 564752

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 752. First we will calculate the prime factors of 751 and 752.

Prime Factorization of 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:

752 = 24×471

Now multiplying the highest exponent prime factors to calculate the LCM of 751 and 752.

LCM(751,752) = 24×471×7511
LCM(751,752) = 564752

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Least Common Multiple of 751 and 752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 751 and 752, than apply into the LCM equation.

GCF(751,752) = 1
LCM(751,752) = ( 751 × 752) / 1
LCM(751,752) = 564752 / 1
LCM(751,752) = 564752

Properties of LCM 751 and 752

(i) The LCM of 752 and 751 is associative

LCM of 751 and 752 = LCM of 752 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 751 and 752

1. What is the LCM of 751 and 752?

Answer: LCM of 751 and 752 is 564752.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

3. What are the Factors of 752?

Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.

4. How to Find the LCM of 751 and 752?

Answer:

Least Common Multiple of 751 and 752 = 564752

Step 1: Find the prime factorization of 751

751 = 751

Step 2: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

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

LCM = 564752 = 2 x 2 x 2 x 2 x 47 x 751

Step 4: Therefore, the least common multiple of 751 and 752 is 564752.