Least Common Multiple of 746 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 746 and 752 the smallest integer that is 280496 that is divisible by both numbers.

Least Common Multiple (LCM) of 746 and 752 is 280496.

LCM(746,752) = 280496

LCM of 746 and 752

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

LCM of:
and

Least Common Multiple of 746 and 752

LCM of 746 and 752 is 280496

Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 752. First we will calculate the prime factors of 746 and 752.

Prime Factorization of 746


2 746
373 373
1

Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:

746 = 21×3731

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 746 and 752.

LCM(746,752) = 24×471×3731
LCM(746,752) = 280496

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 746 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 746 and 752, than apply into the LCM equation.

GCF(746,752) = 2
LCM(746,752) = ( 746 × 752) / 2
LCM(746,752) = 560992 / 2
LCM(746,752) = 280496

Properties of LCM 746 and 752

(i) The LCM of 752 and 746 is associative

LCM of 746 and 752 = LCM of 752 and 746

Related Least Common Multiples of 746

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 746 and 752

1. What is the LCM of 746 and 752?

Answer: LCM of 746 and 752 is 280496.

2. What are the Factors of 746?

Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.

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 746 and 752?

Answer:

Least Common Multiple of 746 and 752 = 280496

Step 1: Find the prime factorization of 746

746 = 2 x 373

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 = 280496 = 2 x 2 x 2 x 2 x 47 x 373

Step 4: Therefore, the least common multiple of 746 and 752 is 280496.