Least Common Multiple (LCM) of 98 and 148
The least common multiple (LCM) of 98 and 148 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 98 and 148?
First, calculate the GCD of 98 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 148 = 0 remainder 98 |
| 2 | 148 ÷ 98 = 1 remainder 50 |
| 3 | 98 ÷ 50 = 1 remainder 48 |
| 4 | 50 ÷ 48 = 1 remainder 2 |
| 5 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 147 | 147 |
| 159 and 10 | 1590 |
| 174 and 17 | 2958 |
| 41 and 131 | 5371 |
| 182 and 163 | 29666 |