Least Common Multiple (LCM) of 147 and 137
The least common multiple (LCM) of 147 and 137 is 20139.
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 147 and 137?
First, calculate the GCD of 147 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 137 = 1 remainder 10 |
| 2 | 137 ÷ 10 = 13 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 26 | 1144 |
| 135 and 199 | 26865 |
| 27 and 124 | 3348 |
| 10 and 200 | 200 |
| 141 and 90 | 4230 |