
Least Common Multiple (LCM) of 77 and 29
The least common multiple (LCM) of 77 and 29 is 2233.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 77 and 29?
First, calculate the GCD of 77 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 77 ÷ 29 = 2 remainder 19 |
2 | 29 ÷ 19 = 1 remainder 10 |
3 | 19 ÷ 10 = 1 remainder 9 |
4 | 10 ÷ 9 = 1 remainder 1 |
5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
14 and 89 | 1246 |
75 and 194 | 14550 |
71 and 61 | 4331 |
108 and 97 | 10476 |
104 and 173 | 17992 |