Least Common Multiple (LCM) of 101 and 92
The least common multiple (LCM) of 101 and 92 is 9292.
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 101 and 92?
First, calculate the GCD of 101 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 92 = 1 remainder 9 |
| 2 | 92 ÷ 9 = 10 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 43 | 5719 |
| 145 and 90 | 2610 |
| 174 and 127 | 22098 |
| 70 and 124 | 4340 |
| 71 and 129 | 9159 |