Least Common Multiple (LCM) of 101 and 51
The least common multiple (LCM) of 101 and 51 is 5151.
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 51?
First, calculate the GCD of 101 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 51 = 1 remainder 50 |
| 2 | 51 ÷ 50 = 1 remainder 1 |
| 3 | 50 ÷ 1 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 139 | 16402 |
| 45 and 109 | 4905 |
| 165 and 155 | 5115 |
| 200 and 158 | 15800 |
| 91 and 160 | 14560 |