Least Common Multiple of 752 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 752 and 755 the smallest integer that is 567760 that is divisible by both numbers.

Least Common Multiple (LCM) of 752 and 755 is 567760.

LCM(752,755) = 567760

LCM of 752 and 755

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

LCM of:
and

Least Common Multiple of 752 and 755

LCM of 752 and 755 is 567760

Least common multiple can be found by multiplying the highest exponent prime factors of 752 and 755. First we will calculate the prime factors of 752 and 755.

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

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 752 and 755.

LCM(752,755) = 24×51×471×1511
LCM(752,755) = 567760

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

Factors of 755

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

1, 5, 151, 755

Least Common Multiple of 752 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 752 and 755, than apply into the LCM equation.

GCF(752,755) = 1
LCM(752,755) = ( 752 × 755) / 1
LCM(752,755) = 567760 / 1
LCM(752,755) = 567760

Properties of LCM 752 and 755

(i) The LCM of 755 and 752 is associative

LCM of 752 and 755 = LCM of 755 and 752

Related Least Common Multiples of 752

Related Least Common Multiples of 755

Frequently Asked Questions on LCM of 752 and 755

1. What is the LCM of 752 and 755?

Answer: LCM of 752 and 755 is 567760.

2. 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.

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 752 and 755?

Answer:

Least Common Multiple of 752 and 755 = 567760

Step 1: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

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 = 567760 = 2 x 2 x 2 x 2 x 5 x 47 x 151

Step 4: Therefore, the least common multiple of 752 and 755 is 567760.