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 |
|---|---|
| 33 and 142 | 4686 |
| 129 and 173 | 22317 |
| 150 and 193 | 28950 |
| 158 and 83 | 13114 |
| 170 and 195 | 6630 |