Least Common Multiple (LCM) of 146 and 187
The least common multiple (LCM) of 146 and 187 is 27302.
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 187?
First, calculate the GCD of 146 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 187 = 0 remainder 146 |
| 2 | 187 ÷ 146 = 1 remainder 41 |
| 3 | 146 ÷ 41 = 3 remainder 23 |
| 4 | 41 ÷ 23 = 1 remainder 18 |
| 5 | 23 ÷ 18 = 1 remainder 5 |
| 6 | 18 ÷ 5 = 3 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 10 | 1030 |
| 140 and 178 | 12460 |
| 149 and 194 | 28906 |
| 143 and 87 | 12441 |
| 169 and 193 | 32617 |