Least Common Multiple of 764 and 768

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 768 the smallest integer that is 146688 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 768 is 146688.

LCM(764,768) = 146688

LCM of 764 and 768

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

LCM of:
and

Least Common Multiple of 764 and 768

LCM of 764 and 768 is 146688

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 768. First we will calculate the prime factors of 764 and 768.

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 768


2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 768 are 2,3. Prime factorization of 768 in exponential form is:

768 = 28×31

Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 768.

LCM(764,768) = 28×31×1911
LCM(764,768) = 146688

Factors of 764

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

1, 2, 4, 191, 382, 764

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Least Common Multiple of 764 and 768 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 768, than apply into the LCM equation.

GCF(764,768) = 4
LCM(764,768) = ( 764 × 768) / 4
LCM(764,768) = 586752 / 4
LCM(764,768) = 146688

Properties of LCM 764 and 768

(i) The LCM of 768 and 764 is associative

LCM of 764 and 768 = LCM of 768 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 768

Frequently Asked Questions on LCM of 764 and 768

1. What is the LCM of 764 and 768?

Answer: LCM of 764 and 768 is 146688.

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 768?

Answer: Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. There are 18 integers that are factors of 768. The greatest factor of 768 is 768.

4. How to Find the LCM of 764 and 768?

Answer:

Least Common Multiple of 764 and 768 = 146688

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

Step 2: Find the prime factorization of 768

768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 146688 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 191

Step 4: Therefore, the least common multiple of 764 and 768 is 146688.