Least Common Multiple (LCM) of 156 and 115
The least common multiple (LCM) of 156 and 115 is 17940.
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 156 and 115?
First, calculate the GCD of 156 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 115 = 1 remainder 41 |
| 2 | 115 ÷ 41 = 2 remainder 33 |
| 3 | 41 ÷ 33 = 1 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 199 | 34427 |
| 64 and 79 | 5056 |
| 132 and 122 | 8052 |
| 10 and 40 | 40 |
| 112 and 152 | 2128 |