Least Common Multiple (LCM) of 101 and 29
The least common multiple (LCM) of 101 and 29 is 2929.
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 29?
First, calculate the GCD of 101 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 29 = 3 remainder 14 |
| 2 | 29 ÷ 14 = 2 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 98 | 6664 |
| 57 and 40 | 2280 |
| 161 and 166 | 26726 |
| 173 and 29 | 5017 |
| 74 and 134 | 4958 |