Least Common Multiple (LCM) of 93 and 137
The least common multiple (LCM) of 93 and 137 is 12741.
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 93 and 137?
First, calculate the GCD of 93 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 137 = 0 remainder 93 |
| 2 | 137 ÷ 93 = 1 remainder 44 |
| 3 | 93 ÷ 44 = 2 remainder 5 |
| 4 | 44 ÷ 5 = 8 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 170 | 32810 |
| 73 and 198 | 14454 |
| 108 and 75 | 2700 |
| 158 and 91 | 14378 |
| 76 and 184 | 3496 |