Least Common Multiple (LCM) of 88 and 59
The least common multiple (LCM) of 88 and 59 is 5192.
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 88 and 59?
First, calculate the GCD of 88 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 59 = 1 remainder 29 |
| 2 | 59 ÷ 29 = 2 remainder 1 |
| 3 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 63 | 756 |
| 105 and 156 | 5460 |
| 13 and 65 | 65 |
| 198 and 64 | 6336 |
| 177 and 137 | 24249 |