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 |
|---|---|
| 117 and 30 | 1170 |
| 167 and 198 | 33066 |
| 29 and 98 | 2842 |
| 140 and 172 | 6020 |
| 185 and 81 | 14985 |