Least Common Multiple (LCM) of 146 and 101
The least common multiple (LCM) of 146 and 101 is 14746.
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 146 and 101?
First, calculate the GCD of 146 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 101 = 1 remainder 45 |
| 2 | 101 ÷ 45 = 2 remainder 11 |
| 3 | 45 ÷ 11 = 4 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 76 | 1976 |
| 71 and 15 | 1065 |
| 52 and 120 | 1560 |
| 11 and 19 | 209 |
| 36 and 173 | 6228 |