Least Common Multiple (LCM) of 37 and 121
The least common multiple (LCM) of 37 and 121 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 37 and 121?
First, calculate the GCD of 37 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 121 = 0 remainder 37 |
| 2 | 121 ÷ 37 = 3 remainder 10 |
| 3 | 37 ÷ 10 = 3 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 83 | 2407 |
| 28 and 146 | 2044 |
| 179 and 173 | 30967 |
| 10 and 36 | 180 |
| 188 and 11 | 2068 |