Least Common Multiple of 753 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 753 and 754 the smallest integer that is 567762 that is divisible by both numbers.

Least Common Multiple (LCM) of 753 and 754 is 567762.

LCM(753,754) = 567762

LCM of 753 and 754

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

LCM of:
and

Least Common Multiple of 753 and 754

LCM of 753 and 754 is 567762

Least common multiple can be found by multiplying the highest exponent prime factors of 753 and 754. First we will calculate the prime factors of 753 and 754.

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

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 753 and 754.

LCM(753,754) = 21×31×131×291×2511
LCM(753,754) = 567762

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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 753 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 753 and 754, than apply into the LCM equation.

GCF(753,754) = 1
LCM(753,754) = ( 753 × 754) / 1
LCM(753,754) = 567762 / 1
LCM(753,754) = 567762

Properties of LCM 753 and 754

(i) The LCM of 754 and 753 is associative

LCM of 753 and 754 = LCM of 754 and 753

Related Least Common Multiples of 753

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 753 and 754

1. What is the LCM of 753 and 754?

Answer: LCM of 753 and 754 is 567762.

2. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

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 753 and 754?

Answer:

Least Common Multiple of 753 and 754 = 567762

Step 1: Find the prime factorization of 753

753 = 3 x 251

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 = 567762 = 2 x 3 x 13 x 29 x 251

Step 4: Therefore, the least common multiple of 753 and 754 is 567762.