Least Common Multiple (LCM) of 121 and 120
The least common multiple (LCM) of 121 and 120 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 121 and 120?
First, calculate the GCD of 121 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 120 = 1 remainder 1 |
| 2 | 120 ÷ 1 = 120 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 101 | 6767 |
| 118 and 141 | 16638 |
| 176 and 128 | 1408 |
| 74 and 157 | 11618 |
| 174 and 30 | 870 |