Least Common Multiple (LCM) of 187 and 151
The least common multiple (LCM) of 187 and 151 is 28237.
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 151?
First, calculate the GCD of 187 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 151 = 1 remainder 36 |
| 2 | 151 ÷ 36 = 4 remainder 7 |
| 3 | 36 ÷ 7 = 5 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 197 | 34278 |
| 157 and 62 | 9734 |
| 101 and 39 | 3939 |
| 119 and 102 | 714 |
| 17 and 147 | 2499 |