Least Common Multiple (LCM) of 101 and 96
The least common multiple (LCM) of 101 and 96 is 9696.
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 96?
First, calculate the GCD of 101 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 96 = 1 remainder 5 |
| 2 | 96 ÷ 5 = 19 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 76 | 2584 |
| 100 and 165 | 3300 |
| 198 and 106 | 10494 |
| 32 and 166 | 2656 |
| 151 and 51 | 7701 |