Least Common Multiple (LCM) of 101 and 52
The least common multiple (LCM) of 101 and 52 is 5252.
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 52?
First, calculate the GCD of 101 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 52 = 1 remainder 49 |
| 2 | 52 ÷ 49 = 1 remainder 3 |
| 3 | 49 ÷ 3 = 16 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 182 | 16380 |
| 150 and 34 | 2550 |
| 147 and 25 | 3675 |
| 130 and 193 | 25090 |
| 167 and 55 | 9185 |