Least Common Multiple (LCM) of 81 and 152
The least common multiple (LCM) of 81 and 152 is 12312.
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 81 and 152?
First, calculate the GCD of 81 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 152 = 0 remainder 81 |
| 2 | 152 ÷ 81 = 1 remainder 71 |
| 3 | 81 ÷ 71 = 1 remainder 10 |
| 4 | 71 ÷ 10 = 7 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 177 | 15222 |
| 102 and 48 | 816 |
| 187 and 54 | 10098 |
| 101 and 86 | 8686 |
| 164 and 195 | 31980 |