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 |
|---|---|
| 86 and 190 | 8170 |
| 161 and 40 | 6440 |
| 68 and 113 | 7684 |
| 23 and 52 | 1196 |
| 33 and 40 | 1320 |