Least Common Multiple (LCM) of 137 and 69
The least common multiple (LCM) of 137 and 69 is 9453.
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 69?
First, calculate the GCD of 137 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 69 = 1 remainder 68 |
| 2 | 69 ÷ 68 = 1 remainder 1 |
| 3 | 68 ÷ 1 = 68 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 161 | 3059 |
| 175 and 18 | 3150 |
| 51 and 77 | 3927 |
| 48 and 184 | 1104 |
| 91 and 78 | 546 |