Least Common Multiple (LCM) of 187 and 39
The least common multiple (LCM) of 187 and 39 is 7293.
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 187 and 39?
First, calculate the GCD of 187 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 39 = 4 remainder 31 |
| 2 | 39 ÷ 31 = 1 remainder 8 |
| 3 | 31 ÷ 8 = 3 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 196 | 3332 |
| 181 and 50 | 9050 |
| 136 and 13 | 1768 |
| 14 and 141 | 1974 |
| 161 and 95 | 15295 |