Least Common Multiple (LCM) of 185 and 148
The least common multiple (LCM) of 185 and 148 is 740.
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 185 and 148?
First, calculate the GCD of 185 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 148 = 1 remainder 37 |
| 2 | 148 ÷ 37 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 143 | 28457 |
| 61 and 153 | 9333 |
| 156 and 173 | 26988 |
| 165 and 176 | 2640 |
| 23 and 36 | 828 |