Least Common Multiple (LCM) of 121 and 42
The least common multiple (LCM) of 121 and 42 is 5082.
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 121 and 42?
First, calculate the GCD of 121 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 42 = 2 remainder 37 |
| 2 | 42 ÷ 37 = 1 remainder 5 |
| 3 | 37 ÷ 5 = 7 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 30 | 540 |
| 159 and 51 | 2703 |
| 83 and 62 | 5146 |
| 63 and 18 | 126 |
| 185 and 27 | 4995 |