Least Common Multiple (LCM) of 120 and 137
The least common multiple (LCM) of 120 and 137 is 16440.
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 137?
First, calculate the GCD of 120 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 137 = 0 remainder 120 |
| 2 | 137 ÷ 120 = 1 remainder 17 |
| 3 | 120 ÷ 17 = 7 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 174 | 12876 |
| 128 and 78 | 4992 |
| 165 and 138 | 7590 |
| 61 and 42 | 2562 |
| 23 and 132 | 3036 |