Least Common Multiple (LCM) of 59 and 148
The least common multiple (LCM) of 59 and 148 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 59 and 148?
First, calculate the GCD of 59 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 148 = 0 remainder 59 |
| 2 | 148 ÷ 59 = 2 remainder 30 |
| 3 | 59 ÷ 30 = 1 remainder 29 |
| 4 | 30 ÷ 29 = 1 remainder 1 |
| 5 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 92 | 6716 |
| 98 and 190 | 9310 |
| 10 and 50 | 50 |
| 33 and 102 | 1122 |
| 86 and 100 | 4300 |