Least Common Multiple (LCM) of 101 and 95
The least common multiple (LCM) of 101 and 95 is 9595.
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 95?
First, calculate the GCD of 101 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 95 = 1 remainder 6 |
| 2 | 95 ÷ 6 = 15 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 105 | 1890 |
| 130 and 109 | 14170 |
| 138 and 176 | 12144 |
| 162 and 71 | 11502 |
| 182 and 37 | 6734 |