Least Common Multiple (LCM) of 185 and 77
The least common multiple (LCM) of 185 and 77 is 14245.
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 185 and 77?
First, calculate the GCD of 185 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 77 = 2 remainder 31 |
| 2 | 77 ÷ 31 = 2 remainder 15 |
| 3 | 31 ÷ 15 = 2 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 72 | 360 |
| 171 and 40 | 6840 |
| 164 and 72 | 2952 |
| 151 and 81 | 12231 |
| 121 and 45 | 5445 |