Least Common Multiple (LCM) of 273 and 137
The least common multiple (LCM) of 273 and 137 is 37401.
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 273 and 137?
First, calculate the GCD of 273 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 273 ÷ 137 = 1 remainder 136 |
| 2 | 137 ÷ 136 = 1 remainder 1 |
| 3 | 136 ÷ 1 = 136 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 77 | 12320 |
| 147 and 100 | 14700 |
| 50 and 182 | 4550 |
| 42 and 67 | 2814 |
| 117 and 72 | 936 |