Least Common Multiple (LCM) of 137 and 164
The least common multiple (LCM) of 137 and 164 is 22468.
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 164?
First, calculate the GCD of 137 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 164 = 0 remainder 137 |
| 2 | 164 ÷ 137 = 1 remainder 27 |
| 3 | 137 ÷ 27 = 5 remainder 2 |
| 4 | 27 ÷ 2 = 13 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 70 | 5670 |
| 90 and 112 | 5040 |
| 87 and 55 | 4785 |
| 52 and 192 | 2496 |
| 27 and 63 | 189 |