Least Common Multiple (LCM) of 59 and 94
The least common multiple (LCM) of 59 and 94 is 5546.
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 59 and 94?
First, calculate the GCD of 59 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 94 = 0 remainder 59 |
| 2 | 94 ÷ 59 = 1 remainder 35 |
| 3 | 59 ÷ 35 = 1 remainder 24 |
| 4 | 35 ÷ 24 = 1 remainder 11 |
| 5 | 24 ÷ 11 = 2 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 29 | 2262 |
| 58 and 24 | 696 |
| 13 and 100 | 1300 |
| 135 and 106 | 14310 |
| 198 and 169 | 33462 |