Least Common Multiple of 758 and 759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 758 and 759 the smallest integer that is 575322 that is divisible by both numbers.

Least Common Multiple (LCM) of 758 and 759 is 575322.

LCM(758,759) = 575322

LCM of 758 and 759

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

LCM of:
and

Least Common Multiple of 758 and 759

LCM of 758 and 759 is 575322

Least common multiple can be found by multiplying the highest exponent prime factors of 758 and 759. First we will calculate the prime factors of 758 and 759.

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

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 758 and 759.

LCM(758,759) = 21×31×111×231×3791
LCM(758,759) = 575322

Factors of 758

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

1, 2, 379, 758

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Least Common Multiple of 758 and 759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 758 and 759, than apply into the LCM equation.

GCF(758,759) = 1
LCM(758,759) = ( 758 × 759) / 1
LCM(758,759) = 575322 / 1
LCM(758,759) = 575322

Properties of LCM 758 and 759

(i) The LCM of 759 and 758 is associative

LCM of 758 and 759 = LCM of 759 and 758

Related Least Common Multiples of 758

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 758 and 759

1. What is the LCM of 758 and 759?

Answer: LCM of 758 and 759 is 575322.

2. 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.

3. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

4. How to Find the LCM of 758 and 759?

Answer:

Least Common Multiple of 758 and 759 = 575322

Step 1: Find the prime factorization of 758

758 = 2 x 379

Step 2: Find the prime factorization of 759

759 = 3 x 11 x 23

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

LCM = 575322 = 2 x 3 x 11 x 23 x 379

Step 4: Therefore, the least common multiple of 758 and 759 is 575322.