Least Common Multiple (LCM) of 148 and 59
The least common multiple (LCM) of 148 and 59 is 8732.
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 148 and 59?
First, calculate the GCD of 148 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 59 = 2 remainder 30 |
| 2 | 59 ÷ 30 = 1 remainder 29 |
| 3 | 30 ÷ 29 = 1 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 200 | 600 |
| 79 and 172 | 13588 |
| 72 and 118 | 4248 |
| 123 and 39 | 1599 |
| 52 and 134 | 3484 |