Least Common Multiple (LCM) of 101 and 32
The least common multiple (LCM) of 101 and 32 is 3232.
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 32?
First, calculate the GCD of 101 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 32 = 3 remainder 5 |
| 2 | 32 ÷ 5 = 6 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 150 | 150 |
| 26 and 75 | 1950 |
| 57 and 179 | 10203 |
| 39 and 92 | 3588 |
| 169 and 81 | 13689 |