Least Common Multiple (LCM) of 71 and 152
The least common multiple (LCM) of 71 and 152 is 10792.
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 152?
First, calculate the GCD of 71 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 152 = 0 remainder 71 |
| 2 | 152 ÷ 71 = 2 remainder 10 |
| 3 | 71 ÷ 10 = 7 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 146 | 14600 |
| 163 and 91 | 14833 |
| 109 and 150 | 16350 |
| 80 and 157 | 12560 |
| 16 and 56 | 112 |