Least Common Multiple of 746 and 754

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 754 the smallest integer that is 281242 that is divisible by both numbers.

Least Common Multiple (LCM) of 746 and 754 is 281242.

LCM(746,754) = 281242

LCM of 746 and 754

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

LCM of:
and

Least Common Multiple of 746 and 754

LCM of 746 and 754 is 281242

Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 754. First we will calculate the prime factors of 746 and 754.

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 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 746 and 754.

LCM(746,754) = 21×131×291×3731
LCM(746,754) = 281242

Factors of 746

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

1, 2, 373, 746

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Least Common Multiple of 746 and 754 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 754, than apply into the LCM equation.

GCF(746,754) = 2
LCM(746,754) = ( 746 × 754) / 2
LCM(746,754) = 562484 / 2
LCM(746,754) = 281242

Properties of LCM 746 and 754

(i) The LCM of 754 and 746 is associative

LCM of 746 and 754 = LCM of 754 and 746

Related Least Common Multiples of 746

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 746 and 754

1. What is the LCM of 746 and 754?

Answer: LCM of 746 and 754 is 281242.

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 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

4. How to Find the LCM of 746 and 754?

Answer:

Least Common Multiple of 746 and 754 = 281242

Step 1: Find the prime factorization of 746

746 = 2 x 373

Step 2: Find the prime factorization of 754

754 = 2 x 13 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 281242 = 2 x 13 x 29 x 373

Step 4: Therefore, the least common multiple of 746 and 754 is 281242.