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 |
|---|---|
| 95 and 25 | 475 |
| 95 and 11 | 1045 |
| 133 and 121 | 16093 |
| 37 and 10 | 370 |
| 124 and 129 | 15996 |