Least Common Multiple of 758 and 764

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 764 the smallest integer that is 289556 that is divisible by both numbers.

Least Common Multiple (LCM) of 758 and 764 is 289556.

LCM(758,764) = 289556

LCM of 758 and 764

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

LCM of:
and

Least Common Multiple of 758 and 764

LCM of 758 and 764 is 289556

Least common multiple can be found by multiplying the highest exponent prime factors of 758 and 764. First we will calculate the prime factors of 758 and 764.

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 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 758 and 764.

LCM(758,764) = 22×1911×3791
LCM(758,764) = 289556

Factors of 758

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

1, 2, 379, 758

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Least Common Multiple of 758 and 764 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 764, than apply into the LCM equation.

GCF(758,764) = 2
LCM(758,764) = ( 758 × 764) / 2
LCM(758,764) = 579112 / 2
LCM(758,764) = 289556

Properties of LCM 758 and 764

(i) The LCM of 764 and 758 is associative

LCM of 758 and 764 = LCM of 764 and 758

Related Least Common Multiples of 758

Related Least Common Multiples of 764

Frequently Asked Questions on LCM of 758 and 764

1. What is the LCM of 758 and 764?

Answer: LCM of 758 and 764 is 289556.

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 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

4. How to Find the LCM of 758 and 764?

Answer:

Least Common Multiple of 758 and 764 = 289556

Step 1: Find the prime factorization of 758

758 = 2 x 379

Step 2: Find the prime factorization of 764

764 = 2 x 2 x 191

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

LCM = 289556 = 2 x 2 x 191 x 379

Step 4: Therefore, the least common multiple of 758 and 764 is 289556.