Least Common Multiple (LCM) of 36 and 101
The least common multiple (LCM) of 36 and 101 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 36 and 101?
First, calculate the GCD of 36 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 101 = 0 remainder 36 |
| 2 | 101 ÷ 36 = 2 remainder 29 |
| 3 | 36 ÷ 29 = 1 remainder 7 |
| 4 | 29 ÷ 7 = 4 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 194 | 33950 |
| 155 and 71 | 11005 |
| 155 and 118 | 18290 |
| 121 and 116 | 14036 |
| 24 and 21 | 168 |