Least Common Multiple of 772 and 776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 772 and 776 the smallest integer that is 149768 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 776 is 149768.

LCM(772,776) = 149768

LCM of 772 and 776

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

LCM of:
and

Least Common Multiple of 772 and 776

LCM of 772 and 776 is 149768

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 776. First we will calculate the prime factors of 772 and 776.

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

Prime Factorization of 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 776.

LCM(772,776) = 23×971×1931
LCM(772,776) = 149768

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Least Common Multiple of 772 and 776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 772 and 776, than apply into the LCM equation.

GCF(772,776) = 4
LCM(772,776) = ( 772 × 776) / 4
LCM(772,776) = 599072 / 4
LCM(772,776) = 149768

Properties of LCM 772 and 776

(i) The LCM of 776 and 772 is associative

LCM of 772 and 776 = LCM of 776 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 772 and 776

1. What is the LCM of 772 and 776?

Answer: LCM of 772 and 776 is 149768.

2. 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.

3. What are the Factors of 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

4. How to Find the LCM of 772 and 776?

Answer:

Least Common Multiple of 772 and 776 = 149768

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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

LCM = 149768 = 2 x 2 x 2 x 97 x 193

Step 4: Therefore, the least common multiple of 772 and 776 is 149768.