Least Common Multiple of 749 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 749 and 752 the smallest integer that is 563248 that is divisible by both numbers.

Least Common Multiple (LCM) of 749 and 752 is 563248.

LCM(749,752) = 563248

LCM of 749 and 752

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

LCM of:
and

Least Common Multiple of 749 and 752

LCM of 749 and 752 is 563248

Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 752. First we will calculate the prime factors of 749 and 752.

Prime Factorization of 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

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 749 and 752.

LCM(749,752) = 24×71×471×1071
LCM(749,752) = 563248

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 749 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 749 and 752, than apply into the LCM equation.

GCF(749,752) = 1
LCM(749,752) = ( 749 × 752) / 1
LCM(749,752) = 563248 / 1
LCM(749,752) = 563248

Properties of LCM 749 and 752

(i) The LCM of 752 and 749 is associative

LCM of 749 and 752 = LCM of 752 and 749

Related Least Common Multiples of 749

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 749 and 752

1. What is the LCM of 749 and 752?

Answer: LCM of 749 and 752 is 563248.

2. What are the Factors of 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

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 749 and 752?

Answer:

Least Common Multiple of 749 and 752 = 563248

Step 1: Find the prime factorization of 749

749 = 7 x 107

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 = 563248 = 2 x 2 x 2 x 2 x 7 x 47 x 107

Step 4: Therefore, the least common multiple of 749 and 752 is 563248.