Least Common Multiple (LCM) of 156 and 187
The least common multiple (LCM) of 156 and 187 is 29172.
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 187?
First, calculate the GCD of 156 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 187 = 0 remainder 156 |
| 2 | 187 ÷ 156 = 1 remainder 31 |
| 3 | 156 ÷ 31 = 5 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 79 | 6399 |
| 79 and 105 | 8295 |
| 84 and 104 | 2184 |
| 42 and 21 | 42 |
| 30 and 148 | 2220 |