Least Common Multiple (LCM) of 101 and 121
The least common multiple (LCM) of 101 and 121 is 12221.
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 121?
First, calculate the GCD of 101 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 121 = 0 remainder 101 |
| 2 | 121 ÷ 101 = 1 remainder 20 |
| 3 | 101 ÷ 20 = 5 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 13 | 1482 |
| 167 and 71 | 11857 |
| 77 and 12 | 924 |
| 36 and 75 | 900 |
| 103 and 102 | 10506 |