Least Common Multiple (LCM) of 137 and 46
The least common multiple (LCM) of 137 and 46 is 6302.
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 137 and 46?
First, calculate the GCD of 137 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 46 = 2 remainder 45 |
| 2 | 46 ÷ 45 = 1 remainder 1 |
| 3 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 101 | 17675 |
| 86 and 75 | 6450 |
| 54 and 65 | 3510 |
| 21 and 175 | 525 |
| 155 and 15 | 465 |