Least Common Multiple (LCM) of 60 and 146
The least common multiple (LCM) of 60 and 146 is 4380.
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 146?
First, calculate the GCD of 60 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 146 = 0 remainder 60 |
| 2 | 146 ÷ 60 = 2 remainder 26 |
| 3 | 60 ÷ 26 = 2 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 72 | 8136 |
| 107 and 64 | 6848 |
| 38 and 93 | 3534 |
| 123 and 104 | 12792 |
| 87 and 191 | 16617 |