Least Common Multiple (LCM) of 137 and 64
The least common multiple (LCM) of 137 and 64 is 8768.
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 64?
First, calculate the GCD of 137 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 64 = 2 remainder 9 |
| 2 | 64 ÷ 9 = 7 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 57 | 8607 |
| 19 and 193 | 3667 |
| 113 and 14 | 1582 |
| 155 and 44 | 6820 |
| 88 and 46 | 2024 |