Least Common Multiple (LCM) of 71 and 151
The least common multiple (LCM) of 71 and 151 is 10721.
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 71 and 151?
First, calculate the GCD of 71 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 151 = 0 remainder 71 |
| 2 | 151 ÷ 71 = 2 remainder 9 |
| 3 | 71 ÷ 9 = 7 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 21 | 777 |
| 14 and 82 | 574 |
| 156 and 50 | 3900 |
| 107 and 66 | 7062 |
| 143 and 171 | 24453 |