Least Common Multiple of 768 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 768 and 772 the smallest integer that is 148224 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 772 is 148224.

LCM(768,772) = 148224

LCM of 768 and 772

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

LCM of:
and

Least Common Multiple of 768 and 772

LCM of 768 and 772 is 148224

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 772. First we will calculate the prime factors of 768 and 772.

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

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 768 and 772.

LCM(768,772) = 28×31×1931
LCM(768,772) = 148224

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

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 768 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 768 and 772, than apply into the LCM equation.

GCF(768,772) = 4
LCM(768,772) = ( 768 × 772) / 4
LCM(768,772) = 592896 / 4
LCM(768,772) = 148224

Properties of LCM 768 and 772

(i) The LCM of 772 and 768 is associative

LCM of 768 and 772 = LCM of 772 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 768 and 772

1. What is the LCM of 768 and 772?

Answer: LCM of 768 and 772 is 148224.

2. 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.

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 768 and 772?

Answer:

Least Common Multiple of 768 and 772 = 148224

Step 1: 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 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 = 148224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 193

Step 4: Therefore, the least common multiple of 768 and 772 is 148224.