Least Common Multiple (LCM) of 116 and 152
The least common multiple (LCM) of 116 and 152 is 4408.
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 116 and 152?
First, calculate the GCD of 116 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 152 = 0 remainder 116 |
| 2 | 152 ÷ 116 = 1 remainder 36 |
| 3 | 116 ÷ 36 = 3 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 101 | 19695 |
| 172 and 145 | 24940 |
| 32 and 187 | 5984 |
| 76 and 22 | 836 |
| 127 and 97 | 12319 |