Least Common Multiple of 773 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 773 and 776 the smallest integer that is 599848 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 776 is 599848.

LCM(773,776) = 599848

LCM of 773 and 776

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

LCM of:
and

Least Common Multiple of 773 and 776

LCM of 773 and 776 is 599848

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 776. First we will calculate the prime factors of 773 and 776.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

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 773 and 776.

LCM(773,776) = 23×971×7731
LCM(773,776) = 599848

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

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 773 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 773 and 776, than apply into the LCM equation.

GCF(773,776) = 1
LCM(773,776) = ( 773 × 776) / 1
LCM(773,776) = 599848 / 1
LCM(773,776) = 599848

Properties of LCM 773 and 776

(i) The LCM of 776 and 773 is associative

LCM of 773 and 776 = LCM of 776 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 773 and 776

1. What is the LCM of 773 and 776?

Answer: LCM of 773 and 776 is 599848.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

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 773 and 776?

Answer:

Least Common Multiple of 773 and 776 = 599848

Step 1: Find the prime factorization of 773

773 = 773

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 = 599848 = 2 x 2 x 2 x 97 x 773

Step 4: Therefore, the least common multiple of 773 and 776 is 599848.