Least Common Multiple (LCM) of 121 and 37
The least common multiple (LCM) of 121 and 37 is 4477.
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 37?
First, calculate the GCD of 121 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 37 = 3 remainder 10 |
| 2 | 37 ÷ 10 = 3 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 78 | 5460 |
| 177 and 53 | 9381 |
| 145 and 86 | 12470 |
| 166 and 169 | 28054 |
| 147 and 179 | 26313 |