Least Common Multiple (LCM) of 151 and 141
The least common multiple (LCM) of 151 and 141 is 21291.
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 151 and 141?
First, calculate the GCD of 151 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 141 = 1 remainder 10 |
| 2 | 141 ÷ 10 = 14 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 171 | 171 |
| 200 and 189 | 37800 |
| 129 and 169 | 21801 |
| 134 and 131 | 17554 |
| 108 and 196 | 5292 |