Least Common Multiple (LCM) of 120 and 37
The least common multiple (LCM) of 120 and 37 is 4440.
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 120 and 37?
First, calculate the GCD of 120 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 37 = 3 remainder 9 |
| 2 | 37 ÷ 9 = 4 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 106 | 6890 |
| 159 and 128 | 20352 |
| 197 and 189 | 37233 |
| 154 and 170 | 13090 |
| 92 and 74 | 3404 |