Least Common Multiple (LCM) of 146 and 155
The least common multiple (LCM) of 146 and 155 is 22630.
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 155?
First, calculate the GCD of 146 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 155 = 0 remainder 146 |
| 2 | 155 ÷ 146 = 1 remainder 9 |
| 3 | 146 ÷ 9 = 16 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 130 | 1040 |
| 117 and 92 | 10764 |
| 88 and 113 | 9944 |
| 72 and 89 | 6408 |
| 12 and 13 | 156 |