Least Common Multiple (LCM) of 91 and 148
The least common multiple (LCM) of 91 and 148 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 91 and 148?
First, calculate the GCD of 91 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 148 = 0 remainder 91 |
| 2 | 148 ÷ 91 = 1 remainder 57 |
| 3 | 91 ÷ 57 = 1 remainder 34 |
| 4 | 57 ÷ 34 = 1 remainder 23 |
| 5 | 34 ÷ 23 = 1 remainder 11 |
| 6 | 23 ÷ 11 = 2 remainder 1 |
| 7 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 145 | 1740 |
| 123 and 27 | 1107 |
| 61 and 14 | 854 |
| 140 and 146 | 10220 |
| 36 and 142 | 2556 |