Least Common Multiple of 754 and 758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 754 and 758 the smallest integer that is 285766 that is divisible by both numbers.

Least Common Multiple (LCM) of 754 and 758 is 285766.

LCM(754,758) = 285766

LCM of 754 and 758

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

LCM of:
and

Least Common Multiple of 754 and 758

LCM of 754 and 758 is 285766

Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 758. First we will calculate the prime factors of 754 and 758.

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

Prime Factorization of 758


2 758
379 379
1

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 21×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 754 and 758.

LCM(754,758) = 21×131×291×3791
LCM(754,758) = 285766

Factors of 754

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

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

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Least Common Multiple of 754 and 758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 754 and 758, than apply into the LCM equation.

GCF(754,758) = 2
LCM(754,758) = ( 754 × 758) / 2
LCM(754,758) = 571532 / 2
LCM(754,758) = 285766

Properties of LCM 754 and 758

(i) The LCM of 758 and 754 is associative

LCM of 754 and 758 = LCM of 758 and 754

Related Least Common Multiples of 754

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 754 and 758

1. What is the LCM of 754 and 758?

Answer: LCM of 754 and 758 is 285766.

2. 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.

3. What are the Factors of 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

4. How to Find the LCM of 754 and 758?

Answer:

Least Common Multiple of 754 and 758 = 285766

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

Step 2: Find the prime factorization of 758

758 = 2 x 379

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

LCM = 285766 = 2 x 13 x 29 x 379

Step 4: Therefore, the least common multiple of 754 and 758 is 285766.