Least Common Multiple (LCM) of 60 and 185
The least common multiple (LCM) of 60 and 185 is 2220.
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 60 and 185?
First, calculate the GCD of 60 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 185 = 0 remainder 60 |
| 2 | 185 ÷ 60 = 3 remainder 5 |
| 3 | 60 ÷ 5 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 51 | 5406 |
| 65 and 190 | 2470 |
| 150 and 30 | 150 |
| 86 and 142 | 6106 |
| 91 and 31 | 2821 |