Least Common Multiple (LCM) of 146 and 152
The least common multiple (LCM) of 146 and 152 is 11096.
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 152?
First, calculate the GCD of 146 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 152 = 0 remainder 146 |
| 2 | 152 ÷ 146 = 1 remainder 6 |
| 3 | 146 ÷ 6 = 24 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 43 | 7525 |
| 157 and 86 | 13502 |
| 101 and 13 | 1313 |
| 181 and 186 | 33666 |
| 134 and 15 | 2010 |