Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 766 and 769 the smallest integer that is 589054 that is divisible by both numbers.
Least Common Multiple (LCM) of 766 and 769 is 589054.
LCM(766,769) = 589054
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 769. First we will calculate the prime factors of 766 and 769.
Prime Factorization of 766
2 | 766 |
383 | 383 |
1 |
Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:
766 = 21×3831
Prime Factorization of 769
769 | 769 |
1 |
Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:
769 = 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 769.
LCM(766,769) = 21×3831×7691
LCM(766,769) = 589054
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1, 769
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 766 and 769, than apply into the LCM equation.
GCF(766,769) = 1
LCM(766,769) = ( 766 × 769) / 1
LCM(766,769) = 589054 / 1
LCM(766,769) = 589054
(i) The LCM of 769 and 766 is associative
LCM of 766 and 769 = LCM of 769 and 766
1. What is the LCM of 766 and 769?
Answer: LCM of 766 and 769 is 589054.
2. What are the Factors of 766?
Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.
3. 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.
4. How to Find the LCM of 766 and 769?
Answer:
Least Common Multiple of 766 and 769 = 589054
Step 1: Find the prime factorization of 766
766 = 2 x 383
Step 2: Find the prime factorization of 769
769 = 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 589054 = 2 x 383 x 769
Step 4: Therefore, the least common multiple of 766 and 769 is 589054.