Least Common Multiple of 748 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 748 and 752 the smallest integer that is 140624 that is divisible by both numbers.

Least Common Multiple (LCM) of 748 and 752 is 140624.

LCM(748,752) = 140624

LCM of 748 and 752

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

LCM of:
and

Least Common Multiple of 748 and 752

LCM of 748 and 752 is 140624

Least common multiple can be found by multiplying the highest exponent prime factors of 748 and 752. First we will calculate the prime factors of 748 and 752.

Prime Factorization of 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2, 11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

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 748 and 752.

LCM(748,752) = 24×111×171×471
LCM(748,752) = 140624

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 748 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 748 and 752, than apply into the LCM equation.

GCF(748,752) = 4
LCM(748,752) = ( 748 × 752) / 4
LCM(748,752) = 562496 / 4
LCM(748,752) = 140624

Properties of LCM 748 and 752

(i) The LCM of 752 and 748 is associative

LCM of 748 and 752 = LCM of 752 and 748

Related Least Common Multiples of 748

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 748 and 752

1. What is the LCM of 748 and 752?

Answer: LCM of 748 and 752 is 140624.

2. What are the Factors of 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

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 748 and 752?

Answer:

Least Common Multiple of 748 and 752 = 140624

Step 1: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

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 = 140624 = 2 x 2 x 2 x 2 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 748 and 752 is 140624.