Least Common Multiple (LCM) of 137 and 73
The least common multiple (LCM) of 137 and 73 is 10001.
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 73?
First, calculate the GCD of 137 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 73 = 1 remainder 64 |
| 2 | 73 ÷ 64 = 1 remainder 9 |
| 3 | 64 ÷ 9 = 7 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 37 | 5439 |
| 113 and 190 | 21470 |
| 13 and 42 | 546 |
| 17 and 48 | 816 |
| 95 and 55 | 1045 |