Least Common Multiple of 747 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 747 and 752 the smallest integer that is 561744 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 752 is 561744.

LCM(747,752) = 561744

LCM of 747 and 752

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

LCM of:
and

Least Common Multiple of 747 and 752

LCM of 747 and 752 is 561744

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 752. First we will calculate the prime factors of 747 and 752.

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

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 747 and 752.

LCM(747,752) = 24×32×471×831
LCM(747,752) = 561744

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 747 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 747 and 752, than apply into the LCM equation.

GCF(747,752) = 1
LCM(747,752) = ( 747 × 752) / 1
LCM(747,752) = 561744 / 1
LCM(747,752) = 561744

Properties of LCM 747 and 752

(i) The LCM of 752 and 747 is associative

LCM of 747 and 752 = LCM of 752 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 747 and 752

1. What is the LCM of 747 and 752?

Answer: LCM of 747 and 752 is 561744.

2. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

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 747 and 752?

Answer:

Least Common Multiple of 747 and 752 = 561744

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

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 = 561744 = 2 x 2 x 2 x 2 x 3 x 3 x 47 x 83

Step 4: Therefore, the least common multiple of 747 and 752 is 561744.