Least Common Multiple (LCM) of 146 and 149
The least common multiple (LCM) of 146 and 149 is 21754.
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 149?
First, calculate the GCD of 146 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 149 = 0 remainder 146 |
| 2 | 149 ÷ 146 = 1 remainder 3 |
| 3 | 146 ÷ 3 = 48 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 90 | 1710 |
| 128 and 154 | 9856 |
| 117 and 113 | 13221 |
| 114 and 72 | 1368 |
| 74 and 95 | 7030 |