Least Common Multiple of 747 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 747 and 754 the smallest integer that is 563238 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 754 is 563238.

LCM(747,754) = 563238

LCM of 747 and 754

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

LCM of:
and

Least Common Multiple of 747 and 754

LCM of 747 and 754 is 563238

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 754. First we will calculate the prime factors of 747 and 754.

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

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 747 and 754.

LCM(747,754) = 21×32×131×291×831
LCM(747,754) = 563238

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 747 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 747 and 754, than apply into the LCM equation.

GCF(747,754) = 1
LCM(747,754) = ( 747 × 754) / 1
LCM(747,754) = 563238 / 1
LCM(747,754) = 563238

Properties of LCM 747 and 754

(i) The LCM of 754 and 747 is associative

LCM of 747 and 754 = LCM of 754 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 747 and 754

1. What is the LCM of 747 and 754?

Answer: LCM of 747 and 754 is 563238.

2. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

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 747 and 754?

Answer:

Least Common Multiple of 747 and 754 = 563238

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

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 = 563238 = 2 x 3 x 3 x 13 x 29 x 83

Step 4: Therefore, the least common multiple of 747 and 754 is 563238.