Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 771 and 772 the smallest integer that is 595212 that is divisible by both numbers.
Least Common Multiple (LCM) of 771 and 772 is 595212.
LCM(771,772) = 595212
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 771 and 772. First we will calculate the prime factors of 771 and 772.
Prime Factorization of 771
3 | 771 |
257 | 257 |
1 |
Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:
771 = 31×2571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 771 and 772.
LCM(771,772) = 22×31×1931×2571
LCM(771,772) = 595212
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 771 and 772, than apply into the LCM equation.
GCF(771,772) = 1
LCM(771,772) = ( 771 × 772) / 1
LCM(771,772) = 595212 / 1
LCM(771,772) = 595212
(i) The LCM of 772 and 771 is associative
LCM of 771 and 772 = LCM of 772 and 771
1. What is the LCM of 771 and 772?
Answer: LCM of 771 and 772 is 595212.
2. What are the Factors of 771?
Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.
3. 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.
4. How to Find the LCM of 771 and 772?
Answer:
Least Common Multiple of 771 and 772 = 595212
Step 1: Find the prime factorization of 771
771 = 3 x 257
Step 2: Find the prime factorization of 772
772 = 2 x 2 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 595212 = 2 x 2 x 3 x 193 x 257
Step 4: Therefore, the least common multiple of 771 and 772 is 595212.