Least Common Multiple of 764 and 766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 764 and 766 the smallest integer that is 292612 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 766 is 292612.

LCM(764,766) = 292612

LCM of 764 and 766

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

LCM of:
and

Least Common Multiple of 764 and 766

LCM of 764 and 766 is 292612

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 766. First we will calculate the prime factors of 764 and 766.

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

Prime Factorization of 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 766.

LCM(764,766) = 22×1911×3831
LCM(764,766) = 292612

Factors of 764

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

1, 2, 4, 191, 382, 764

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Least Common Multiple of 764 and 766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 764 and 766, than apply into the LCM equation.

GCF(764,766) = 2
LCM(764,766) = ( 764 × 766) / 2
LCM(764,766) = 585224 / 2
LCM(764,766) = 292612

Properties of LCM 764 and 766

(i) The LCM of 766 and 764 is associative

LCM of 764 and 766 = LCM of 766 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 766

Frequently Asked Questions on LCM of 764 and 766

1. What is the LCM of 764 and 766?

Answer: LCM of 764 and 766 is 292612.

2. 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.

3. What are the Factors of 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

4. How to Find the LCM of 764 and 766?

Answer:

Least Common Multiple of 764 and 766 = 292612

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

Step 2: Find the prime factorization of 766

766 = 2 x 383

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

LCM = 292612 = 2 x 2 x 191 x 383

Step 4: Therefore, the least common multiple of 764 and 766 is 292612.