Least Common Multiple (LCM) of 120 and 121
The least common multiple (LCM) of 120 and 121 is 14520.
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 121?
First, calculate the GCD of 120 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 121 = 0 remainder 120 |
| 2 | 121 ÷ 120 = 1 remainder 1 |
| 3 | 120 ÷ 1 = 120 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 74 | 1998 |
| 114 and 21 | 798 |
| 27 and 191 | 5157 |
| 128 and 37 | 4736 |
| 149 and 139 | 20711 |