Least Common Multiple (LCM) of 121 and 142
The least common multiple (LCM) of 121 and 142 is 17182.
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 142?
First, calculate the GCD of 121 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 142 = 0 remainder 121 |
| 2 | 142 ÷ 121 = 1 remainder 21 |
| 3 | 121 ÷ 21 = 5 remainder 16 |
| 4 | 21 ÷ 16 = 1 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 176 | 2112 |
| 106 and 72 | 3816 |
| 127 and 149 | 18923 |
| 93 and 110 | 10230 |
| 195 and 88 | 17160 |