Least Common Multiple (LCM) of 46 and 91
The least common multiple (LCM) of 46 and 91 is 4186.
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 46 and 91?
First, calculate the GCD of 46 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 91 = 0 remainder 46 |
| 2 | 91 ÷ 46 = 1 remainder 45 |
| 3 | 46 ÷ 45 = 1 remainder 1 |
| 4 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 195 | 10530 |
| 27 and 169 | 4563 |
| 145 and 21 | 3045 |
| 136 and 162 | 11016 |
| 100 and 114 | 5700 |