Least Common Multiple (LCM) of 146 and 23
The least common multiple (LCM) of 146 and 23 is 3358.
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 23?
First, calculate the GCD of 146 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 23 = 6 remainder 8 |
| 2 | 23 ÷ 8 = 2 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 33 | 4620 |
| 123 and 59 | 7257 |
| 183 and 30 | 1830 |
| 119 and 92 | 10948 |
| 163 and 93 | 15159 |