Least Common Multiple of 769 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 769 and 776 the smallest integer that is 596744 that is divisible by both numbers.

Least Common Multiple (LCM) of 769 and 776 is 596744.

LCM(769,776) = 596744

LCM of 769 and 776

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

LCM of:
and

Least Common Multiple of 769 and 776

LCM of 769 and 776 is 596744

Least common multiple can be found by multiplying the highest exponent prime factors of 769 and 776. First we will calculate the prime factors of 769 and 776.

Prime Factorization of 769


769 769
1

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 7691

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 769 and 776.

LCM(769,776) = 23×971×7691
LCM(769,776) = 596744

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1, 769

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 769 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 769 and 776, than apply into the LCM equation.

GCF(769,776) = 1
LCM(769,776) = ( 769 × 776) / 1
LCM(769,776) = 596744 / 1
LCM(769,776) = 596744

Properties of LCM 769 and 776

(i) The LCM of 776 and 769 is associative

LCM of 769 and 776 = LCM of 776 and 769

Related Least Common Multiples of 769

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 769 and 776

1. What is the LCM of 769 and 776?

Answer: LCM of 769 and 776 is 596744.

2. What are the Factors of 769?

Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.

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 769 and 776?

Answer:

Least Common Multiple of 769 and 776 = 596744

Step 1: Find the prime factorization of 769

769 = 769

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 = 596744 = 2 x 2 x 2 x 97 x 769

Step 4: Therefore, the least common multiple of 769 and 776 is 596744.