Least Common Multiple (LCM) of 101 and 36
The least common multiple (LCM) of 101 and 36 is 3636.
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 36?
First, calculate the GCD of 101 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 36 = 2 remainder 29 |
| 2 | 36 ÷ 29 = 1 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 87 | 5394 |
| 173 and 82 | 14186 |
| 160 and 71 | 11360 |
| 25 and 34 | 850 |
| 159 and 173 | 27507 |