Least Common Multiple (LCM) of 148 and 98
The least common multiple (LCM) of 148 and 98 is 7252.
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 98?
First, calculate the GCD of 148 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 98 = 1 remainder 50 |
| 2 | 98 ÷ 50 = 1 remainder 48 |
| 3 | 50 ÷ 48 = 1 remainder 2 |
| 4 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 90 | 990 |
| 29 and 98 | 2842 |
| 46 and 142 | 3266 |
| 76 and 170 | 6460 |
| 59 and 189 | 11151 |