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 |
|---|---|
| 161 and 106 | 17066 |
| 67 and 139 | 9313 |
| 39 and 186 | 2418 |
| 92 and 161 | 644 |
| 127 and 167 | 21209 |