Least Common Multiple (LCM) of 121 and 151
The least common multiple (LCM) of 121 and 151 is 18271.
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 151?
First, calculate the GCD of 121 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 151 = 0 remainder 121 |
| 2 | 151 ÷ 121 = 1 remainder 30 |
| 3 | 121 ÷ 30 = 4 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 68 | 1972 |
| 127 and 126 | 16002 |
| 89 and 47 | 4183 |
| 19 and 15 | 285 |
| 40 and 44 | 440 |