Least Common Multiple of 762 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 762 and 768 the smallest integer that is 97536 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 768 is 97536.

LCM(762,768) = 97536

LCM of 762 and 768

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

LCM of:
and

Least Common Multiple of 762 and 768

LCM of 762 and 768 is 97536

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 768. First we will calculate the prime factors of 762 and 768.

Prime Factorization of 762


2 762
3 381
127 127
1

Prime factors of 762 are 2, 3,127. Prime factorization of 762 in exponential form is:

762 = 21×31×1271

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 762 and 768.

LCM(762,768) = 28×31×1271
LCM(762,768) = 97536

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

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 762 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 762 and 768, than apply into the LCM equation.

GCF(762,768) = 6
LCM(762,768) = ( 762 × 768) / 6
LCM(762,768) = 585216 / 6
LCM(762,768) = 97536

Properties of LCM 762 and 768

(i) The LCM of 768 and 762 is associative

LCM of 762 and 768 = LCM of 768 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 768

Frequently Asked Questions on LCM of 762 and 768

1. What is the LCM of 762 and 768?

Answer: LCM of 762 and 768 is 97536.

2. What are the Factors of 762?

Answer: Factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762. There are 8 integers that are factors of 762. The greatest factor of 762 is 762.

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 762 and 768?

Answer:

Least Common Multiple of 762 and 768 = 97536

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

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 = 97536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 127

Step 4: Therefore, the least common multiple of 762 and 768 is 97536.