Least Common Multiple (LCM) of 95 and 37
The least common multiple (LCM) of 95 and 37 is 3515.
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 95 and 37?
First, calculate the GCD of 95 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 37 = 2 remainder 21 |
| 2 | 37 ÷ 21 = 1 remainder 16 |
| 3 | 21 ÷ 16 = 1 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 83 | 10624 |
| 27 and 115 | 3105 |
| 188 and 128 | 6016 |
| 109 and 90 | 9810 |
| 171 and 195 | 11115 |