Least Common Multiple of 764 and 772

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 772 the smallest integer that is 147452 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 772 is 147452.

LCM(764,772) = 147452

LCM of 764 and 772

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

LCM of:
and

Least Common Multiple of 764 and 772

LCM of 764 and 772 is 147452

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 772. First we will calculate the prime factors of 764 and 772.

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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 772.

LCM(764,772) = 22×1911×1931
LCM(764,772) = 147452

Factors of 764

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

1, 2, 4, 191, 382, 764

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 764 and 772 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 772, than apply into the LCM equation.

GCF(764,772) = 4
LCM(764,772) = ( 764 × 772) / 4
LCM(764,772) = 589808 / 4
LCM(764,772) = 147452

Properties of LCM 764 and 772

(i) The LCM of 772 and 764 is associative

LCM of 764 and 772 = LCM of 772 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 764 and 772

1. What is the LCM of 764 and 772?

Answer: LCM of 764 and 772 is 147452.

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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 764 and 772?

Answer:

Least Common Multiple of 764 and 772 = 147452

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 147452 = 2 x 2 x 191 x 193

Step 4: Therefore, the least common multiple of 764 and 772 is 147452.