Least Common Multiple (LCM) of 121 and 62
The least common multiple (LCM) of 121 and 62 is 7502.
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 62?
First, calculate the GCD of 121 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 62 = 1 remainder 59 |
| 2 | 62 ÷ 59 = 1 remainder 3 |
| 3 | 59 ÷ 3 = 19 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 54 | 594 |
| 147 and 167 | 24549 |
| 198 and 65 | 12870 |
| 20 and 158 | 1580 |
| 133 and 94 | 12502 |