Least Common Multiple (LCM) of 148 and 91
The least common multiple (LCM) of 148 and 91 is 13468.
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 91?
First, calculate the GCD of 148 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 91 = 1 remainder 57 |
| 2 | 91 ÷ 57 = 1 remainder 34 |
| 3 | 57 ÷ 34 = 1 remainder 23 |
| 4 | 34 ÷ 23 = 1 remainder 11 |
| 5 | 23 ÷ 11 = 2 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 96 | 96 |
| 25 and 63 | 1575 |
| 136 and 50 | 3400 |
| 132 and 107 | 14124 |
| 135 and 99 | 1485 |