Least Common Multiple (LCM) of 156 and 185
The least common multiple (LCM) of 156 and 185 is 28860.
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 185?
First, calculate the GCD of 156 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 185 = 0 remainder 156 |
| 2 | 185 ÷ 156 = 1 remainder 29 |
| 3 | 156 ÷ 29 = 5 remainder 11 |
| 4 | 29 ÷ 11 = 2 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 157 | 20253 |
| 156 and 181 | 28236 |
| 155 and 95 | 2945 |
| 180 and 88 | 3960 |
| 49 and 112 | 784 |