Least Common Multiple (LCM) of 59 and 178
The least common multiple (LCM) of 59 and 178 is 10502.
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 178?
First, calculate the GCD of 59 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 178 = 0 remainder 59 |
| 2 | 178 ÷ 59 = 3 remainder 1 |
| 3 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 199 | 20895 |
| 180 and 82 | 7380 |
| 96 and 11 | 1056 |
| 199 and 144 | 28656 |
| 111 and 72 | 2664 |